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

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


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

Multiply (8 + 9x) * (-8 + 9x)
x(8(-8 + 9x) + 9x * (-8 + 9x)) = 0
x((-8 * 8 + 9x * 8) + 9x * (-8 + 9x)) = 0
x((-64 + 72x) + 9x * (-8 + 9x)) = 0
x(-64 + 72x + (-8 * 9x + 9x * 9x)) = 0
x(-64 + 72x + (-72x + 81x2)) = 0

Combine like terms: 72x + -72x = 0
x(-64 + 0 + 81x2) = 0
x(-64 + 81x2) = 0
(-64 * x + 81x2 * x) = 0
(-64x + 81x3) = 0

Solving
-64x + 81x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-64 + 81x2) = 0

Factor a difference between two squares.
x((8 + 9x)(-8 + 9x)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve:

Simplifying
8 + 9x = 0

Solving
8 + 9x = 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 + 9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 0 + -8
9x = 0 + -8

Combine like terms: 0 + -8 = -8
9x = -8

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

Subproblem 3
Set the factor '(-8 + 9x)' equal to zero and attempt to solve:

Simplifying
-8 + 9x = 0

Solving
-8 + 9x = 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 + 9x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 0 + 8
9x = 0 + 8

Combine like terms: 0 + 8 = 8
9x = 8

Divide each side by '9'.
x = 0.8888888889

Simplifying
x = 0.8888888889
Solution
x = {0, -0.8888888889, 0.8888888889}

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