8x^2-16x-74=-120

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Solution for 8x^2-16x-74=-120 equation: 


Simplifying
8x2 + -16x + -74 = -120

Reorder the terms:
-74 + -16x + 8x2 = -120

Solving
-74 + -16x + 8x2 = -120

Solving for variable 'x'.

Reorder the terms:
-74 + 120 + -16x + 8x2 = -120 + 120

Combine like terms: -74 + 120 = 46
46 + -16x + 8x2 = -120 + 120

Combine like terms: -120 + 120 = 0
46 + -16x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(23 + -8x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(23 + -8x + 4x2)' equal to zero and attempt to solve:

Simplifying
23 + -8x + 4x2 = 0

Solving
23 + -8x + 4x2 = 0

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

Divide each side by '4'.
5.75 + -2x + x2 = 0

Move the constant term to the right:

Add '-5.75' to each side of the equation.
5.75 + -2x + -5.75 + x2 = 0 + -5.75

Reorder the terms:
5.75 + -5.75 + -2x + x2 = 0 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + -2x + x2 = 0 + -5.75
-2x + x2 = 0 + -5.75

Combine like terms: 0 + -5.75 = -5.75
-2x + x2 = -5.75

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 = -5.75 + 1

Reorder the terms:
1 + -2x + x2 = -5.75 + 1

Combine like terms: -5.75 + 1 = -4.75
1 + -2x + x2 = -4.75

Factor a perfect square on the left side:
(x + -1)(x + -1) = -4.75

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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