(3x+4)x(3x-4)=

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Solution for (3x+4)x(3x-4)= equation: 


Simplifying
(3x + 4) * x(3x + -4) = 0

Reorder the terms:
(4 + 3x) * x(3x + -4) = 0

Reorder the terms:
(4 + 3x) * x(-4 + 3x) = 0

Reorder the terms for easier multiplication:
x(4 + 3x)(-4 + 3x) = 0

Multiply (4 + 3x) * (-4 + 3x)
x(4(-4 + 3x) + 3x * (-4 + 3x)) = 0
x((-4 * 4 + 3x * 4) + 3x * (-4 + 3x)) = 0
x((-16 + 12x) + 3x * (-4 + 3x)) = 0
x(-16 + 12x + (-4 * 3x + 3x * 3x)) = 0
x(-16 + 12x + (-12x + 9x2)) = 0

Combine like terms: 12x + -12x = 0
x(-16 + 0 + 9x2) = 0
x(-16 + 9x2) = 0
(-16 * x + 9x2 * x) = 0
(-16x + 9x3) = 0

Solving
-16x + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + 9x2) = 0

Factor a difference between two squares.
x((4 + 3x)(-4 + 3x)) = 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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {0, -1.333333333, 1.333333333}

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