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Simplifying
67 = (x)(0.5x)
Remove parenthesis around (0.5x)
67 = x * 0.5x
Reorder the terms for easier multiplication:
67 = 0.5x * x
Multiply x * x
67 = 0.5x2
Solving
67 = 0.5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.5x2' to each side of the equation.
67 + -0.5x2 = 0.5x2 + -0.5x2
Combine like terms: 0.5x2 + -0.5x2 = 0.0
67 + -0.5x2 = 0.0
Add '-67' to each side of the equation.
67 + -67 + -0.5x2 = 0.0 + -67
Combine like terms: 67 + -67 = 0
0 + -0.5x2 = 0.0 + -67
-0.5x2 = 0.0 + -67
Combine like terms: 0.0 + -67 = -67
-0.5x2 = -67
Divide each side by '-0.5'.
x2 = 134
Simplifying
x2 = 134
Take the square root of each side:
x = {-11.575836903, 11.575836903}
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