x^2-64x-56=0

Solution for x^2-64x-56=0 equation:

Simplifying
x2 + -64x + -56 = 0

Reorder the terms:
-56 + -64x + x2 = 0

Solving
-56 + -64x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '56' to each side of the equation.
-56 + -64x + 56 + x2 = 0 + 56

Reorder the terms:
-56 + 56 + -64x + x2 = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -64x + x2 = 0 + 56
-64x + x2 = 0 + 56

Combine like terms: 0 + 56 = 56
-64x + x2 = 56

The x term is -64x.  Take half its coefficient (-32).
Square it (1024) and add it to both sides.

Add '1024' to each side of the equation.
-64x + 1024 + x2 = 56 + 1024

Reorder the terms:
1024 + -64x + x2 = 56 + 1024

Combine like terms: 56 + 1024 = 1080
1024 + -64x + x2 = 1080

Factor a perfect square on the left side:
(x + -32)(x + -32) = 1080

Calculate the square root of the right side: 32.86335345

Break this problem into two subproblems by setting 
(x + -32) equal to 32.86335345 and -32.86335345.

Subproblem 1
x + -32 = 32.86335345

Simplifying
x + -32 = 32.86335345

Reorder the terms:
-32 + x = 32.86335345

Solving
-32 + x = 32.86335345

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + x = 32.86335345 + 32

Combine like terms: -32 + 32 = 0
0 + x = 32.86335345 + 32
x = 32.86335345 + 32

Combine like terms: 32.86335345 + 32 = 64.86335345
x = 64.86335345

Simplifying
x = 64.86335345

Subproblem 2
x + -32 = -32.86335345

Simplifying
x + -32 = -32.86335345

Reorder the terms:
-32 + x = -32.86335345

Solving
-32 + x = -32.86335345

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + x = -32.86335345 + 32

Combine like terms: -32 + 32 = 0
0 + x = -32.86335345 + 32
x = -32.86335345 + 32

Combine like terms: -32.86335345 + 32 = -0.86335345
x = -0.86335345

Simplifying
x = -0.86335345

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {64.86335345, -0.86335345}