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Simplifying
120 = -5x2 + 250
Reorder the terms:
120 = 250 + -5x2
Solving
120 = 250 + -5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x2' to each side of the equation.
120 + 5x2 = 250 + -5x2 + 5x2
Combine like terms: -5x2 + 5x2 = 0
120 + 5x2 = 250 + 0
120 + 5x2 = 250
Add '-120' to each side of the equation.
120 + -120 + 5x2 = 250 + -120
Combine like terms: 120 + -120 = 0
0 + 5x2 = 250 + -120
5x2 = 250 + -120
Combine like terms: 250 + -120 = 130
5x2 = 130
Divide each side by '5'.
x2 = 26
Simplifying
x2 = 26
Take the square root of each side:
x = {-5.099019514, 5.099019514}
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