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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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