x^2-20x+125=0

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Solution for x^2-20x+125=0 equation:


Simplifying
x2 + -20x + 125 = 0

Reorder the terms:
125 + -20x + x2 = 0

Solving
125 + -20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-125' to each side of the equation.
125 + -20x + -125 + x2 = 0 + -125

Reorder the terms:
125 + -125 + -20x + x2 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -20x + x2 = 0 + -125
-20x + x2 = 0 + -125

Combine like terms: 0 + -125 = -125
-20x + x2 = -125

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -125 + 100

Reorder the terms:
100 + -20x + x2 = -125 + 100

Combine like terms: -125 + 100 = -25
100 + -20x + x2 = -25

Factor a perfect square on the left side:
(x + -10)(x + -10) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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