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Simplifying log[6] * 4x2 + -1log[6] * x = 2 Reorder the terms for easier multiplication: 6 * 4glo * x2 + -1log[6] * x = 2 Multiply 6 * 4 24glo * x2 + -1log[6] * x = 2 Multiply glo * x2 24glox2 + -1log[6] * x = 2 Reorder the terms for easier multiplication: 24glox2 + -1 * 6glo * x = 2 Multiply -1 * 6 24glox2 + -6glo * x = 2 Multiply glo * x 24glox2 + -6glox = 2 Reorder the terms: -6glox + 24glox2 = 2 Solving -6glox + 24glox2 = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -6glox + 24glox2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -6glox + 24glox2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -3glox + 12glox2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3glox + 12glox2)' equal to zero and attempt to solve: Simplifying -1 + -3glox + 12glox2 = 0 Solving -1 + -3glox + 12glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3glox + 1 + 12glox2 = 0 + 1 Reorder the terms: -1 + 1 + -3glox + 12glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3glox + 12glox2 = 0 + 1 -3glox + 12glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 -3glox + 12glox2 = 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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