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Simplifying log[(x + -2)(x + -2)] = log[9] + log[4] Reorder the terms: glo[(-2 + x)(x + -2)] = log[9] + log[4] Reorder the terms: glo[(-2 + x)(-2 + x)] = log[9] + log[4] Multiply (-2 + x) * (-2 + x) glo[(-2(-2 + x) + x(-2 + x))] = log[9] + log[4] glo[((-2 * -2 + x * -2) + x(-2 + x))] = log[9] + log[4] glo[((4 + -2x) + x(-2 + x))] = log[9] + log[4] glo[(4 + -2x + (-2 * x + x * x))] = log[9] + log[4] glo[(4 + -2x + (-2x + x2))] = log[9] + log[4] Combine like terms: -2x + -2x = -4x glo[(4 + -4x + x2)] = log[9] + log[4] [4 * glo + -4x * glo + x2 * glo] = log[9] + log[4] [4glo + -4glox + glox2] = log[9] + log[4] Reorder the terms for easier multiplication: 4glo + -4glox + glox2 = 9glo + log[4] Reorder the terms for easier multiplication: 4glo + -4glox + glox2 = 9glo + 4glo Combine like terms: 9glo + 4glo = 13glo 4glo + -4glox + glox2 = 13glo Solving 4glo + -4glox + glox2 = 13glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13glo' to each side of the equation. 4glo + -4glox + -13glo + glox2 = 13glo + -13glo Reorder the terms: 4glo + -13glo + -4glox + glox2 = 13glo + -13glo Combine like terms: 4glo + -13glo = -9glo -9glo + -4glox + glox2 = 13glo + -13glo Combine like terms: 13glo + -13glo = 0 -9glo + -4glox + glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-9 + -4x + x2) = 0Subproblem 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 '(-9 + -4x + x2)' equal to zero and attempt to solve: Simplifying -9 + -4x + x2 = 0 Solving -9 + -4x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -4x + 9 + x2 = 0 + 9 Reorder the terms: -9 + 9 + -4x + x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x + x2 = 0 + 9 -4x + x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -4x + x2 = 9 Add '4x' to each side of the equation. -4x + 4x + x2 = 9 + 4x Combine like terms: -4x + 4x = 0 0 + x2 = 9 + 4x x2 = 9 + 4x Add '-1x2' to each side of the equation. x2 + -1x2 = 9 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 9 + 4x + -1x2 Simplifying 0 = 9 + 4x + -1x2 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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