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Simplifying log[9] * x2 = log[9] * 25 Reorder the terms for easier multiplication: 9glo * x2 = log[9] * 25 Multiply glo * x2 9glox2 = log[9] * 25 Reorder the terms for easier multiplication: 9glox2 = 9 * 25glo Multiply 9 * 25 9glox2 = 225glo Solving 9glox2 = 225glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-225glo' to each side of the equation. -225glo + 9glox2 = 225glo + -225glo Combine like terms: 225glo + -225glo = 0 -225glo + 9glox2 = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-25 + x2) = 0 Factor a difference between two squares. 9glo((5 + x)(-5 + x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -1x 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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