SOLUTION: Solve equations by factoring Solve the equation. 500x^4 = -500x^3 + 45000x^2

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Question 378843: Solve equations by factoring
Solve the equation.
500x^4 = -500x^3 + 45000x^2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Solving equation by factoring

500x^4 = -500x^3 + 45000x^2 

500x^4  + 500x^3 -45000x^2 = 0

500x^2(x^2 + x  - 90) = 0

500x^2(x + 10)(x-9) = 0 Note:SUM of the inner product(10x) and the outer product(-9x) = x

500x^2 = 0

x = 0

(x + 10) = 0

x = -10

(x-9) = 0

x = 9