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

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


Simplifying
10x2 = (5x)(3x)

Remove parenthesis around (5x)
10x2 = 5x(3x)

Remove parenthesis around (3x)
10x2 = 5x * 3x

Reorder the terms for easier multiplication:
10x2 = 5 * 3x * x

Multiply 5 * 3
10x2 = 15x * x

Multiply x * x
10x2 = 15x2

Solving
10x2 = 15x2

Solving for variable 'x'.

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

Add '-15x2' to each side of the equation.
10x2 + -15x2 = 15x2 + -15x2

Combine like terms: 10x2 + -15x2 = -5x2
-5x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-5x2 = 0

Divide each side by '-5'.
x2 = 0

Simplifying
x2 = 0

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

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