9x(2+3x)(2-3x)=

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Solution for 9x(2+3x)(2-3x)= equation: 


Simplifying
9x(2 + 3x)(2 + -3x) = 0

Multiply (2 + 3x) * (2 + -3x)
9x(2(2 + -3x) + 3x * (2 + -3x)) = 0
9x((2 * 2 + -3x * 2) + 3x * (2 + -3x)) = 0
9x((4 + -6x) + 3x * (2 + -3x)) = 0
9x(4 + -6x + (2 * 3x + -3x * 3x)) = 0
9x(4 + -6x + (6x + -9x2)) = 0

Combine like terms: -6x + 6x = 0
9x(4 + 0 + -9x2) = 0
9x(4 + -9x2) = 0
(4 * 9x + -9x2 * 9x) = 0
(36x + -81x3) = 0

Solving
36x + -81x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(4 + -9x2) = 0

Factor a difference between two squares.
9x((2 + 3x)(2 + -3x)) = 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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 3
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0, -0.6666666667, 0.6666666667}

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