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Simplifying
-20x + 500 = x2 + -20x + 125
Reorder the terms:
500 + -20x = x2 + -20x + 125
Reorder the terms:
500 + -20x = 125 + -20x + x2
Add '20x' to each side of the equation.
500 + -20x + 20x = 125 + -20x + 20x + x2
Combine like terms: -20x + 20x = 0
500 + 0 = 125 + -20x + 20x + x2
500 = 125 + -20x + 20x + x2
Combine like terms: -20x + 20x = 0
500 = 125 + 0 + x2
500 = 125 + x2
Solving
500 = 125 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
500 + -1x2 = 125 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
500 + -1x2 = 125 + 0
500 + -1x2 = 125
Add '-500' to each side of the equation.
500 + -500 + -1x2 = 125 + -500
Combine like terms: 500 + -500 = 0
0 + -1x2 = 125 + -500
-1x2 = 125 + -500
Combine like terms: 125 + -500 = -375
-1x2 = -375
Divide each side by '-1'.
x2 = 375
Simplifying
x2 = 375
Take the square root of each side:
x = {-19.364916731, 19.364916731}
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