x^2-2x+120=0

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Solution for x^2-2x+120=0 equation:


Simplifying
x2 + -2x + 120 = 0

Reorder the terms:
120 + -2x + x2 = 0

Solving
120 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + -2x + -120 + x2 = 0 + -120

Reorder the terms:
120 + -120 + -2x + x2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -2x + x2 = 0 + -120
-2x + x2 = 0 + -120

Combine like terms: 0 + -120 = -120
-2x + x2 = -120

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -120 + 1

Reorder the terms:
1 + -2x + x2 = -120 + 1

Combine like terms: -120 + 1 = -119
1 + -2x + x2 = -119

Factor a perfect square on the left side:
(x + -1)(x + -1) = -119

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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