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Simplifying
36 = -0.5x2 + 108
Reorder the terms:
36 = 108 + -0.5x2
Solving
36 = 108 + -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.
36 + 0.5x2 = 108 + -0.5x2 + 0.5x2
Combine like terms: -0.5x2 + 0.5x2 = 0.0
36 + 0.5x2 = 108 + 0.0
36 + 0.5x2 = 108
Add '-36' to each side of the equation.
36 + -36 + 0.5x2 = 108 + -36
Combine like terms: 36 + -36 = 0
0 + 0.5x2 = 108 + -36
0.5x2 = 108 + -36
Combine like terms: 108 + -36 = 72
0.5x2 = 72
Divide each side by '0.5'.
x2 = 144
Simplifying
x2 = 144
Take the square root of each side:
x = {-12, 12}
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