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Simplifying og[12](x2 + 35) = log[12](12x + -1) Reorder the terms: go * 12(35 + x2) = log[12](12x + -1) Reorder the terms for easier multiplication: 12go(35 + x2) = log[12](12x + -1) (35 * 12go + x2 * 12go) = log[12](12x + -1) (420go + 12gox2) = log[12](12x + -1) Reorder the terms: 420go + 12gox2 = glo * 12(-1 + 12x) Reorder the terms for easier multiplication: 420go + 12gox2 = 12glo(-1 + 12x) 420go + 12gox2 = (-1 * 12glo + 12x * 12glo) 420go + 12gox2 = (-12glo + 144glox) Solving 420go + 12gox2 = -12glo + 144glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12glo' to each side of the equation. 420go + 12glo + 12gox2 = -12glo + 12glo + 144glox Reorder the terms: 12glo + 420go + 12gox2 = -12glo + 12glo + 144glox Combine like terms: -12glo + 12glo = 0 12glo + 420go + 12gox2 = 0 + 144glox 12glo + 420go + 12gox2 = 144glox Add '-144glox' to each side of the equation. 12glo + 420go + -144glox + 12gox2 = 144glox + -144glox Reorder the terms: 12glo + -144glox + 420go + 12gox2 = 144glox + -144glox Combine like terms: 144glox + -144glox = 0 12glo + -144glox + 420go + 12gox2 = 0 Factor out the Greatest Common Factor (GCF), '12go'. 12go(l + -12lx + 35 + x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(l + -12lx + 35 + x2)' equal to zero and attempt to solve: Simplifying l + -12lx + 35 + x2 = 0 Reorder the terms: 35 + l + -12lx + x2 = 0 Solving 35 + l + -12lx + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + l + -12lx + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + l + -12lx + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + l + -12lx + x2 = 0 + -35 l + -12lx + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 l + -12lx + x2 = -35 Add '-1l' to each side of the equation. l + -12lx + -1l + x2 = -35 + -1l Reorder the terms: l + -1l + -12lx + x2 = -35 + -1l Combine like terms: l + -1l = 0 0 + -12lx + x2 = -35 + -1l -12lx + x2 = -35 + -1l Add '12lx' to each side of the equation. -12lx + 12lx + x2 = -35 + -1l + 12lx Combine like terms: -12lx + 12lx = 0 0 + x2 = -35 + -1l + 12lx x2 = -35 + -1l + 12lx Add '-1x2' to each side of the equation. x2 + -1x2 = -35 + -1l + 12lx + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -35 + -1l + 12lx + -1x2 Simplifying 0 = -35 + -1l + 12lx + -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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