x^2-16x+180=0

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Solution for x^2-16x+180=0 equation:


Simplifying
x2 + -16x + 180 = 0

Reorder the terms:
180 + -16x + x2 = 0

Solving
180 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-180' to each side of the equation.
180 + -16x + -180 + x2 = 0 + -180

Reorder the terms:
180 + -180 + -16x + x2 = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -16x + x2 = 0 + -180
-16x + x2 = 0 + -180

Combine like terms: 0 + -180 = -180
-16x + x2 = -180

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -180 + 64

Reorder the terms:
64 + -16x + x2 = -180 + 64

Combine like terms: -180 + 64 = -116
64 + -16x + x2 = -116

Factor a perfect square on the left side:
(x + -8)(x + -8) = -116

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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