5(2x)(3x)=(10x)(15x)

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Solution for 5(2x)(3x)=(10x)(15x) equation:


Simplifying
5(2x)(3x) = (10x)(15x)

Remove parenthesis around (2x)
5 * 2x(3x) = (10x)(15x)

Remove parenthesis around (3x)
5 * 2x * 3x = (10x)(15x)

Reorder the terms for easier multiplication:
5 * 2 * 3x * x = (10x)(15x)

Multiply 5 * 2
10 * 3x * x = (10x)(15x)

Multiply 10 * 3
30x * x = (10x)(15x)

Multiply x * x
30x2 = (10x)(15x)

Remove parenthesis around (10x)
30x2 = 10x(15x)

Remove parenthesis around (15x)
30x2 = 10x * 15x

Reorder the terms for easier multiplication:
30x2 = 10 * 15x * x

Multiply 10 * 15
30x2 = 150x * x

Multiply x * x
30x2 = 150x2

Solving
30x2 = 150x2

Solving for variable 'x'.

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

Add '-150x2' to each side of the equation.
30x2 + -150x2 = 150x2 + -150x2

Combine like terms: 30x2 + -150x2 = -120x2
-120x2 = 150x2 + -150x2

Combine like terms: 150x2 + -150x2 = 0
-120x2 = 0

Divide each side by '-120'.
x2 = 0

Simplifying
x2 = 0

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

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