log(8)4x^2-log(8)9=2

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Solution for log(8)4x^2-log(8)9=2 equation:


Simplifying
log(8) * 4x2 + -1log(8) * 9 = 2

Reorder the terms for easier multiplication:
8 * 4glo * x2 + -1log(8) * 9 = 2

Multiply 8 * 4
32glo * x2 + -1log(8) * 9 = 2

Multiply glo * x2
32glox2 + -1log(8) * 9 = 2

Reorder the terms for easier multiplication:
32glox2 + -1 * 8 * 9glo = 2

Multiply -1 * 8
32glox2 + -8 * 9glo = 2

Multiply -8 * 9
32glox2 + -72glo = 2

Reorder the terms:
-72glo + 32glox2 = 2

Solving
-72glo + 32glox2 = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -72glo + 32glox2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -72glo + 32glox2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -36glo + 16glox2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -36glo + 16glox2)' equal to zero and attempt to solve: Simplifying -1 + -36glo + 16glox2 = 0 Solving -1 + -36glo + 16glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -36glo + 1 + 16glox2 = 0 + 1 Reorder the terms: -1 + 1 + -36glo + 16glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -36glo + 16glox2 = 0 + 1 -36glo + 16glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 -36glo + 16glox2 = 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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