-2x(8x-1)=114

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Solution for -2x(8x-1)=114 equation: 


Simplifying
-2x(8x + -1) = 114

Reorder the terms:
-2x(-1 + 8x) = 114
(-1 * -2x + 8x * -2x) = 114
(2x + -16x2) = 114

Solving
2x + -16x2 = 114

Solving for variable 'x'.

Reorder the terms:
-114 + 2x + -16x2 = 114 + -114

Combine like terms: 114 + -114 = 0
-114 + 2x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-57 + x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-57 + x + -8x2)' equal to zero and attempt to solve:

Simplifying
-57 + x + -8x2 = 0

Solving
-57 + x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
7.125 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-7.125' to each side of the equation.
7.125 + -0.125x + -7.125 + x2 = 0 + -7.125

Reorder the terms:
7.125 + -7.125 + -0.125x + x2 = 0 + -7.125

Combine like terms: 7.125 + -7.125 = 0.000
0.000 + -0.125x + x2 = 0 + -7.125
-0.125x + x2 = 0 + -7.125

Combine like terms: 0 + -7.125 = -7.125
-0.125x + x2 = -7.125

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.125x + 0.25 + x2 = -7.125 + 0.25

Reorder the terms:
0.25 + -0.125x + x2 = -7.125 + 0.25

Combine like terms: -7.125 + 0.25 = -6.875
0.25 + -0.125x + x2 = -6.875

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -6.875

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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