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Simplifying log(12)(m2 + 73) = log(12)(17m + 3) Reorder the terms: glo * 12(73 + m2) = log(12)(17m + 3) Reorder the terms for easier multiplication: 12glo(73 + m2) = log(12)(17m + 3) (73 * 12glo + m2 * 12glo) = log(12)(17m + 3) Reorder the terms: (12glm2o + 876glo) = log(12)(17m + 3) (12glm2o + 876glo) = log(12)(17m + 3) Reorder the terms: 12glm2o + 876glo = glo * 12(3 + 17m) Reorder the terms for easier multiplication: 12glm2o + 876glo = 12glo(3 + 17m) 12glm2o + 876glo = (3 * 12glo + 17m * 12glo) Reorder the terms: 12glm2o + 876glo = (204glmo + 36glo) 12glm2o + 876glo = (204glmo + 36glo) Solving 12glm2o + 876glo = 204glmo + 36glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-204glmo' to each side of the equation. 12glm2o + -204glmo + 876glo = 204glmo + -204glmo + 36glo Reorder the terms: -204glmo + 12glm2o + 876glo = 204glmo + -204glmo + 36glo Combine like terms: 204glmo + -204glmo = 0 -204glmo + 12glm2o + 876glo = 0 + 36glo -204glmo + 12glm2o + 876glo = 36glo Add '-36glo' to each side of the equation. -204glmo + 12glm2o + 876glo + -36glo = 36glo + -36glo Combine like terms: 876glo + -36glo = 840glo -204glmo + 12glm2o + 840glo = 36glo + -36glo Combine like terms: 36glo + -36glo = 0 -204glmo + 12glm2o + 840glo = 0 Factor out the Greatest Common Factor (GCF), '12glo'. 12glo(-17m + m2 + 70) = 0 Factor a trinomial. 12glo((m + -10)(m + -7)) = 0 Ignore the factor 12.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 '(m + -10)' equal to zero and attempt to solve: Simplifying m + -10 = 0 Reorder the terms: -10 + m = 0 Solving -10 + m = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + m = 0 + 10 m = 0 + 10 Combine like terms: 0 + 10 = 10 m = 10 Add '-1m' to each side of the equation. m + -1m = 10 + -1m Combine like terms: m + -1m = 0 0 = 10 + -1m Simplifying 0 = 10 + -1m 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 '(m + -7)' equal to zero and attempt to solve: Simplifying m + -7 = 0 Reorder the terms: -7 + m = 0 Solving -7 + m = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + m = 0 + 7 m = 0 + 7 Combine like terms: 0 + 7 = 7 m = 7 Add '-1m' to each side of the equation. m + -1m = 7 + -1m Combine like terms: m + -1m = 0 0 = 7 + -1m Simplifying 0 = 7 + -1m 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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