x^2(x-9)(x+8)=0

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Solution for x^2(x-9)(x+8)=0 equation: 


Simplifying
x2(x + -9)(x + 8) = 0

Reorder the terms:
x2(-9 + x)(x + 8) = 0

Reorder the terms:
x2(-9 + x)(8 + x) = 0

Multiply (-9 + x) * (8 + x)
x2(-9(8 + x) + x(8 + x)) = 0
x2((8 * -9 + x * -9) + x(8 + x)) = 0
x2((-72 + -9x) + x(8 + x)) = 0
x2(-72 + -9x + (8 * x + x * x)) = 0
x2(-72 + -9x + (8x + x2)) = 0

Combine like terms: -9x + 8x = -1x
x2(-72 + -1x + x2) = 0
(-72 * x2 + -1x * x2 + x2 * x2) = 0
(-72x2 + -1x3 + x4) = 0

Solving
-72x2 + -1x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-72 + -1x + x2) = 0

Factor a trinomial.
x2((-8 + -1x)(9 + -1x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {0, -8, 9}

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