-8x^2-2x-41=0

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Solution for -8x^2-2x-41=0 equation:


Simplifying
-8x2 + -2x + -41 = 0

Reorder the terms:
-41 + -2x + -8x2 = 0

Solving
-41 + -2x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(41 + 2x + 8x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(41 + 2x + 8x2)' equal to zero and attempt to solve:

Simplifying
41 + 2x + 8x2 = 0

Solving
41 + 2x + 8x2 = 0

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

Divide each side by '8'.
5.125 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-5.125' to each side of the equation.
5.125 + 0.25x + -5.125 + x2 = 0 + -5.125

Reorder the terms:
5.125 + -5.125 + 0.25x + x2 = 0 + -5.125

Combine like terms: 5.125 + -5.125 = 0.000
0.000 + 0.25x + x2 = 0 + -5.125
0.25x + x2 = 0 + -5.125

Combine like terms: 0 + -5.125 = -5.125
0.25x + x2 = -5.125

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -5.125 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -5.125 + 0.015625

Combine like terms: -5.125 + 0.015625 = -5.109375
0.015625 + 0.25x + x2 = -5.109375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -5.109375

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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