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Simplifying
7 = -0.5x2 + 27.25
Reorder the terms:
7 = 27.25 + -0.5x2
Solving
7 = 27.25 + -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.
7 + 0.5x2 = 27.25 + -0.5x2 + 0.5x2
Combine like terms: -0.5x2 + 0.5x2 = 0.0
7 + 0.5x2 = 27.25 + 0.0
7 + 0.5x2 = 27.25
Add '-7' to each side of the equation.
7 + -7 + 0.5x2 = 27.25 + -7
Combine like terms: 7 + -7 = 0
0 + 0.5x2 = 27.25 + -7
0.5x2 = 27.25 + -7
Combine like terms: 27.25 + -7 = 20.25
0.5x2 = 20.25
Divide each side by '0.5'.
x2 = 40.5
Simplifying
x2 = 40.5
Take the square root of each side:
x = {-6.363961031, 6.363961031}
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