log(4x^2-2x-2)=2

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Solution for log(4x^2-2x-2)=2 equation:


Simplifying
log(4x2 + -2x + -2) = 2

Reorder the terms:
glo(-2 + -2x + 4x2) = 2
(-2 * glo + -2x * glo + 4x2 * glo) = 2
(-2glo + -2glox + 4glox2) = 2

Solving
-2glo + -2glox + 4glox2 = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -2glo + -2glox + 4glox2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -2glo + -2glox + 4glox2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1glo + -1glox + 2glox2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -1glo + -1glox + 2glox2)' equal to zero and attempt to solve: Simplifying -1 + -1glo + -1glox + 2glox2 = 0 Solving -1 + -1glo + -1glox + 2glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1glo + -1glox + 1 + 2glox2 = 0 + 1 Reorder the terms: -1 + 1 + -1glo + -1glox + 2glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1glo + -1glox + 2glox2 = 0 + 1 -1glo + -1glox + 2glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1glo + -1glox + 2glox2 = 1 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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