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Andreyy89
3 years ago
11

What is the solution -10 = 2a - 4

Mathematics
2 answers:
xxMikexx [17]3 years ago
7 0
<h2>SOLUTION :</h2>

- 10 = 2a - 4 \\  - 10 + 4 = 2a \\  - 6 = 2a \\  - 3 = a

THANKS

Simora [160]3 years ago
6 0

Add 4 to both sides

-10 + 4 = 2a

Simplify -10 + 4 to -6

-6 = 2a

Divide both sides by 2

-6/2 = a

Simplify 6/2 to 3

-3 = a

Switch sides

<u>a = -3</u>

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5(x + 10)(10x - 3)

Step-by-step explanation:

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Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

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Step-4: Add up the first 2 terms, pulling out like factors:

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             Add up the last 2 terms, pulling out common factors:

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Step-5: Add up the four terms of step 4:

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            Which is the desired factorization

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5(x + 10)(10x - 3)

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