(15x)(15x)=(5x)(5x)(5x)

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Solution for (15x)(15x)=(5x)(5x)(5x) equation: 


Simplifying
(15x)(15x) = (5x)(5x)(5x)

Remove parenthesis around (15x)
15x(15x) = (5x)(5x)(5x)

Remove parenthesis around (15x)
15x * 15x = (5x)(5x)(5x)

Reorder the terms for easier multiplication:
15 * 15x * x = (5x)(5x)(5x)

Multiply 15 * 15
225x * x = (5x)(5x)(5x)

Multiply x * x
225x2 = (5x)(5x)(5x)

Remove parenthesis around (5x)
225x2 = 5x(5x)(5x)

Remove parenthesis around (5x)
225x2 = 5x * 5x(5x)

Remove parenthesis around (5x)
225x2 = 5x * 5x * 5x

Reorder the terms for easier multiplication:
225x2 = 5 * 5 * 5x * x * x

Multiply 5 * 5
225x2 = 25 * 5x * x * x

Multiply 25 * 5
225x2 = 125x * x * x

Multiply x * x
225x2 = 125x2 * x

Multiply x2 * x
225x2 = 125x3

Solving
225x2 = 125x3

Solving for variable 'x'.

Combine like terms: 125x3 + -125x3 = 0
225x2 + -125x3 = 0

Factor out the Greatest Common Factor (GCF), '25x2'.
25x2(9 + -5x) = 0

Ignore the factor 25.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 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 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {0, 1.8}

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