X^2-18X+86=0

Solution for X^2-18X+86=0 equation:

Simplifying
X2 + -18X + 86 = 0

Reorder the terms:
86 + -18X + X2 = 0

Solving
86 + -18X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-86' to each side of the equation.
86 + -18X + -86 + X2 = 0 + -86

Reorder the terms:
86 + -86 + -18X + X2 = 0 + -86

Combine like terms: 86 + -86 = 0
0 + -18X + X2 = 0 + -86
-18X + X2 = 0 + -86

Combine like terms: 0 + -86 = -86
-18X + X2 = -86

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 = -86 + 81

Reorder the terms:
81 + -18X + X2 = -86 + 81

Combine like terms: -86 + 81 = -5
81 + -18X + X2 = -5

Factor a perfect square on the left side:
(X + -9)(X + -9) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.