x^2-18x+112=0

Solution for x^2-18x+112=0 equation:

Simplifying
x2 + -18x + 112 = 0

Reorder the terms:
112 + -18x + x2 = 0

Solving
112 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-112' to each side of the equation.
112 + -18x + -112 + x2 = 0 + -112

Reorder the terms:
112 + -112 + -18x + x2 = 0 + -112

Combine like terms: 112 + -112 = 0
0 + -18x + x2 = 0 + -112
-18x + x2 = 0 + -112

Combine like terms: 0 + -112 = -112
-18x + x2 = -112

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -112 + 81

Reorder the terms:
81 + -18x + x2 = -112 + 81

Combine like terms: -112 + 81 = -31
81 + -18x + x2 = -31

Factor a perfect square on the left side:
(x + -9)(x + -9) = -31

Can't calculate square root of the right side.

The solution to this equation could not be determined.