x^2-8x=-128

Solution for x^2-8x=-128 equation:

Simplifying
x2 + -8x = -128

Reorder the terms:
-8x + x2 = -128

Solving
-8x + x2 = -128

Solving for variable 'x'.

Reorder the terms:
128 + -8x + x2 = -128 + 128

Combine like terms: -128 + 128 = 0
128 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-128' to each side of the equation.
128 + -8x + -128 + x2 = 0 + -128

Reorder the terms:
128 + -128 + -8x + x2 = 0 + -128

Combine like terms: 128 + -128 = 0
0 + -8x + x2 = 0 + -128
-8x + x2 = 0 + -128

Combine like terms: 0 + -128 = -128
-8x + x2 = -128

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -128 + 16

Reorder the terms:
16 + -8x + x2 = -128 + 16

Combine like terms: -128 + 16 = -112
16 + -8x + x2 = -112

Factor a perfect square on the left side:
(x + -4)(x + -4) = -112

Can't calculate square root of the right side.

The solution to this equation could not be determined.