=(-x^2)+8x-59

Solution for =(-x^2)+8x-59 equation:

Simplifying
0 = (-1x2) + 8x + -59

Reorder the terms:
0 = -59 + 8x + (-1x2)

Solving
0 = -59 + 8x + (-1x2)

Solving for variable 'x'.
0 + 59 + -8x + x2 = -59 + 8x + (-1x2) + 59 + -8x + (x2)

Combine like terms: 0 + 59 = 59
59 + -8x + x2 = -59 + 8x + (-1x2) + 59 + -8x + (x2)
59 + -8x + x2 = -59 + 8x + (-1x2) + 59 + -8x + x2

Reorder the terms:
59 + -8x + x2 = -59 + 59 + 8x + -8x + (-1x2) + x2

Combine like terms: -59 + 59 = 0
59 + -8x + x2 = 0 + 8x + -8x + (-1x2) + x2
59 + -8x + x2 = 8x + -8x + (-1x2) + x2

Combine like terms: 8x + -8x = 0
59 + -8x + x2 = 0 + (-1x2) + x2
59 + -8x + x2 = (-1x2) + x2

Combine like terms: (-1x2) + x2 = 0
59 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-59' to each side of the equation.
59 + -8x + -59 + x2 = 0 + -59

Reorder the terms:
59 + -59 + -8x + x2 = 0 + -59

Combine like terms: 59 + -59 = 0
0 + -8x + x2 = 0 + -59
-8x + x2 = 0 + -59

Combine like terms: 0 + -59 = -59
-8x + x2 = -59

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 = -59 + 16

Reorder the terms:
16 + -8x + x2 = -59 + 16

Combine like terms: -59 + 16 = -43
16 + -8x + x2 = -43

Factor a perfect square on the left side:
(x + -4)(x + -4) = -43

Can't calculate square root of the right side.

The solution to this equation could not be determined.