x((9+4x)(-9+4x))=0

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Solution for x((9+4x)(-9+4x))=0 equation: 


Simplifying
x((9 + 4x)(-9 + 4x)) = 0

Multiply (9 + 4x) * (-9 + 4x)
x((9(-9 + 4x) + 4x * (-9 + 4x))) = 0
x(((-9 * 9 + 4x * 9) + 4x * (-9 + 4x))) = 0
x(((-81 + 36x) + 4x * (-9 + 4x))) = 0
x((-81 + 36x + (-9 * 4x + 4x * 4x))) = 0
x((-81 + 36x + (-36x + 16x2))) = 0

Combine like terms: 36x + -36x = 0
x((-81 + 0 + 16x2)) = 0
x((-81 + 16x2)) = 0
(-81 * x + 16x2 * x) = 0
(-81x + 16x3) = 0

Solving
-81x + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-81 + 16x2) = 0

Factor a difference between two squares.
x((9 + 4x)(-9 + 4x)) = 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 '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 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 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 3
Set the factor '(-9 + 4x)' equal to zero and attempt to solve:

Simplifying
-9 + 4x = 0

Solving
-9 + 4x = 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 + 4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 0 + 9
4x = 0 + 9

Combine like terms: 0 + 9 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {0, -2.25, 2.25}

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