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

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


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

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

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

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

Combine like terms: 9x + -9x = 0
9x(-81 + 0 + x2) = 0
9x(-81 + x2) = 0
(-81 * 9x + x2 * 9x) = 0
(-729x + 9x3) = 0

Solving
-729x + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-81 + x2) = 0

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

Ignore the factor 9.

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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

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

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

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

Simplifying
x = -9

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

Simplifying
-9 + x = 0

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

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

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

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

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