1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Makovka662 [10]
3 years ago
12

Solve the equation 12a3 + 12a2 = -3a. Show all work.

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

12a³ + 12a² = -3a       | + 3a

12a³ + 12a² + 3a = 0

3a(4a² + 4a + 1) = 0

3a(2a + 1)² = 0

3a = 0 or (2a + 1)² = 0

1) 3a = 0      | : 3

a = 0

2) (2a + 1)² = 0

2a + 1 = 0           | - 1

2a = -1           | : 2

a = -1/2

a ∈ {-1/2, 0}

Used formula:

(a + b)² = a² + 2ab + b²

You might be interested in
How do I convert 4/9 into a decimal?​
denis-greek [22]

Answer:

0.4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
GCF of 15x^4 and 35x4
Ostrovityanka [42]

Answer:

5x^4

Step-by-step explanation:

5 0
3 years ago
Simplify using perfect squares or factor trees. Show your work.
Elena L [17]
6

 if u take √36 and put it in the calculator your answer will be 6 or if u take 6×6 and u will end up with 36 
3 0
3 years ago
What is the area of this figure?<br> Enter your answer in the box.
Aleks [24]

Step-by-step explanation:

55

the coordinates will add each other

4 0
3 years ago
A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest
Helen [10]

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> \frac{35}{100} * x = 3500

x = \frac{3500 * 100}{35}

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

\frac{20}{100} * 10000

= $2000

The youngest child will receive $2000.

3 0
3 years ago
Other questions:
  • What is the final amount if 860 is increased by 6% followed by a 9% decrease? Give your answer rounded to 2 DP.
    8·2 answers
  • How do you do this question
    5·2 answers
  • A motorist is pumping gas into a car at a rate of 5/12 of a gallon every 1/24 of a minute. At this rate, how many gallons of gas
    8·1 answer
  • Which of the following will be the solution for a two-order inequality?
    11·2 answers
  • What is the measurement of angle y?
    10·1 answer
  • .215215215... as a fraction
    14·1 answer
  • Which order pair could be a solution to this inequality
    11·1 answer
  • I NEED THE ANSWER TO THIS QUESTION!!!!!! ITS A 6TH GRADE MATH!!! PLS!!!! THX!!!!! I WILL MARK THE BRAINLIEST!!!!!!!!’
    13·1 answer
  • 1
    13·1 answer
  • Estimate the following using general rule.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!