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Simplifying
5x2 + 0x + -125 = 0
Anything times zero is zero.
5x2 + 0x + -125 = 0
Reorder the terms:
0 + -125 + 5x2 = 0
Combine like terms: 0 + -125 = -125
-125 + 5x2 = 0
Solving
-125 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '125' to each side of the equation.
-125 + 125 + 5x2 = 0 + 125
Combine like terms: -125 + 125 = 0
0 + 5x2 = 0 + 125
5x2 = 0 + 125
Combine like terms: 0 + 125 = 125
5x2 = 125
Divide each side by '5'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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