log(x^2-14)64=6

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Solution for log(x^2-14)64=6 equation:


Simplifying
log(x2 + -14) * 64 = 6

Reorder the terms:
glo(-14 + x2) * 64 = 6

Reorder the terms for easier multiplication:
64glo(-14 + x2) = 6
(-14 * 64glo + x2 * 64glo) = 6
(-896glo + 64glox2) = 6

Solving
-896glo + 64glox2 = 6

Solving for variable 'g'.

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

Reorder the terms:
-6 + -896glo + 64glox2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -896glo + 64glox2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -448glo + 32glox2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -448glo + 32glox2)' equal to zero and attempt to solve: Simplifying -3 + -448glo + 32glox2 = 0 Solving -3 + -448glo + 32glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -448glo + 3 + 32glox2 = 0 + 3 Reorder the terms: -3 + 3 + -448glo + 32glox2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -448glo + 32glox2 = 0 + 3 -448glo + 32glox2 = 0 + 3 Combine like terms: 0 + 3 = 3 -448glo + 32glox2 = 3 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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