logBASE(2)(x^2-x-68)=2

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Solution for logBASE(2)(x^2-x-68)=2 equation: 


Simplifying
logBASE(2)(x2 + -1x + -68) = 2

Reorder the terms:
gloABES * 2(-68 + -1x + x2) = 2

Reorder the terms for easier multiplication:
2gloABES(-68 + -1x + x2) = 2
(-68 * 2gloABES + -1x * 2gloABES + x2 * 2gloABES) = 2
(-136gloABES + -2gloxABES + 2glox2ABES) = 2

Solving
-136gloABES + -2gloxABES + 2glox2ABES = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -136gloABES + -2gloxABES + 2glox2ABES = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -136gloABES + -2gloxABES + 2glox2ABES = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -68gloABES + -1gloxABES + glox2ABES) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -68gloABES + -1gloxABES + glox2ABES)' equal to zero and attempt to solve:

Simplifying
-1 + -68gloABES + -1gloxABES + glox2ABES = 0

Solving
-1 + -68gloABES + -1gloxABES + glox2ABES = 0

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

Add '1' to each side of the equation.
-1 + -68gloABES + -1gloxABES + 1 + glox2ABES = 0 + 1

Reorder the terms:
-1 + 1 + -68gloABES + -1gloxABES + glox2ABES = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -68gloABES + -1gloxABES + glox2ABES = 0 + 1
-68gloABES + -1gloxABES + glox2ABES = 0 + 1

Combine like terms: 0 + 1 = 1
-68gloABES + -1gloxABES + glox2ABES = 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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