Answer:
x=0 or x=1
Step-by-step explanation:
(x−2)(−5x2+x)=x(−5x2)+x−2(−5x2)−2x
−5x3+11x2−2x=−5x3+10x2−x
Step 1: Add 5x^3 to both sides.
−5x3+11x2−2x+5x3=−5x3+10x2−x+5x3
11x2−2x=10x2−x
Step 2: Subtract 10x^2-x from both sides.
11x2−2x−(10x2−x)=10x2−x−(10x2−x)
x2−x=0
Step 3: Factor left side of equation.
x(x−1)=0
Step 4: Set factors equal to 0.
x=0 or x−1=0
x=0 or x=1
Step-by-step explanation:
Distribute over the parenthesis:
Group like terms:
Anything subtracted from itself is 0.
Simplify:
Answer:
remaining amount of animals should be 35
Step-by-step explanation:
First add up all the pets in the store = 37
Then minus the 2 puppies = 35
then put it as 2:35
Since there is a 40% discount, this means that they subtracted 40% of the original price from the original price, meaning that $36 is 60% of the original price. We can use ratios to figure out the original price (so 100% of the price).
100% x
60% 36
x = 36*100 / 60 = 3600 / 60 = 360 / 6 = 60
We can check this quickly: 60 * 0.4 (or 40%) is 24. If we subtract 60-24 we get 36, so we did the problem correctly