13.5=(9)(x)(2x)

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Solution for 13.5=(9)(x)(2x) equation:


Simplifying
13.5 = (9)(x)(2x)

Remove parenthesis around (2x)
13.5 = 9x * 2x

Reorder the terms for easier multiplication:
13.5 = 9 * 2x * x

Multiply 9 * 2
13.5 = 18x * x

Multiply x * x
13.5 = 18x2

Solving
13.5 = 18x2

Solving for variable 'x'.

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

Add '-18x2' to each side of the equation.
13.5 + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
13.5 + -18x2 = 0

Add '-13.5' to each side of the equation.
13.5 + -13.5 + -18x2 = 0 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -18x2 = 0 + -13.5
-18x2 = 0 + -13.5

Combine like terms: 0 + -13.5 = -13.5
-18x2 = -13.5

Divide each side by '-18'.
x2 = 0.75

Simplifying
x2 = 0.75

Take the square root of each side:
x = {-0.866025404, 0.866025404}

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