x^2-19x+89=-8

Solution for x^2-19x+89=-8 equation:

Simplifying
x2 + -19x + 89 = -8

Reorder the terms:
89 + -19x + x2 = -8

Solving
89 + -19x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
89 + 8 + -19x + x2 = -8 + 8

Combine like terms: 89 + 8 = 97
97 + -19x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
97 + -19x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-97' to each side of the equation.
97 + -19x + -97 + x2 = 0 + -97

Reorder the terms:
97 + -97 + -19x + x2 = 0 + -97

Combine like terms: 97 + -97 = 0
0 + -19x + x2 = 0 + -97
-19x + x2 = 0 + -97

Combine like terms: 0 + -97 = -97
-19x + x2 = -97

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = -97 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -97 + 90.25

Combine like terms: -97 + 90.25 = -6.75
90.25 + -19x + x2 = -6.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.