-4x^2+8x-56=8

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Solution for -4x^2+8x-56=8 equation: 


Simplifying
-4x2 + 8x + -56 = 8

Reorder the terms:
-56 + 8x + -4x2 = 8

Solving
-56 + 8x + -4x2 = 8

Solving for variable 'x'.

Reorder the terms:
-56 + -8 + 8x + -4x2 = 8 + -8

Combine like terms: -56 + -8 = -64
-64 + 8x + -4x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-64 + 8x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-16 + 2x + -1x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-16 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
-16 + 2x + -1x2 = 0

Solving
-16 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
16 + -2x + x2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -2x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -2x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -2x + x2 = 0 + -16
-2x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-2x + x2 = -16

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -16 + 1

Reorder the terms:
1 + -2x + x2 = -16 + 1

Combine like terms: -16 + 1 = -15
1 + -2x + x2 = -15

Factor a perfect square on the left side:
(x + -1)(x + -1) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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