-9x(4x-5)(4x+5)=

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Solution for -9x(4x-5)(4x+5)= equation: 


Simplifying
-9x(4x + -5)(4x + 5) = 0

Reorder the terms:
-9x(-5 + 4x)(4x + 5) = 0

Reorder the terms:
-9x(-5 + 4x)(5 + 4x) = 0

Multiply (-5 + 4x) * (5 + 4x)
-9x(-5(5 + 4x) + 4x * (5 + 4x)) = 0
-9x((5 * -5 + 4x * -5) + 4x * (5 + 4x)) = 0
-9x((-25 + -20x) + 4x * (5 + 4x)) = 0
-9x(-25 + -20x + (5 * 4x + 4x * 4x)) = 0
-9x(-25 + -20x + (20x + 16x2)) = 0

Combine like terms: -20x + 20x = 0
-9x(-25 + 0 + 16x2) = 0
-9x(-25 + 16x2) = 0
(-25 * -9x + 16x2 * -9x) = 0
(225x + -144x3) = 0

Solving
225x + -144x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(25 + -16x2) = 0

Factor a difference between two squares.
9x((5 + 4x)(5 + -4x)) = 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 '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 3
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0, -1.25, 1.25}

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