x^2-12x+120=0

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Solution for x^2-12x+120=0 equation:


Simplifying
x2 + -12x + 120 = 0

Reorder the terms:
120 + -12x + x2 = 0

Solving
120 + -12x + 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 + -12x + -120 + x2 = 0 + -120

Reorder the terms:
120 + -120 + -12x + x2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -12x + x2 = 0 + -120
-12x + x2 = 0 + -120

Combine like terms: 0 + -120 = -120
-12x + x2 = -120

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -120 + 36

Reorder the terms:
36 + -12x + x2 = -120 + 36

Combine like terms: -120 + 36 = -84
36 + -12x + x2 = -84

Factor a perfect square on the left side:
(x + -6)(x + -6) = -84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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