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Simplifying log(x + -2) = log(4x2 + -35) Reorder the terms: glo(-2 + x) = log(4x2 + -35) (-2 * glo + x * glo) = log(4x2 + -35) (-2glo + glox) = log(4x2 + -35) Reorder the terms: -2glo + glox = glo(-35 + 4x2) -2glo + glox = (-35 * glo + 4x2 * glo) -2glo + glox = (-35glo + 4glox2) Solving -2glo + glox = -35glo + 4glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '35glo' to each side of the equation. -2glo + 35glo + glox = -35glo + 35glo + 4glox2 Combine like terms: -2glo + 35glo = 33glo 33glo + glox = -35glo + 35glo + 4glox2 Combine like terms: -35glo + 35glo = 0 33glo + glox = 0 + 4glox2 33glo + glox = 4glox2 Add '-4glox2' to each side of the equation. 33glo + glox + -4glox2 = 4glox2 + -4glox2 Combine like terms: 4glox2 + -4glox2 = 0 33glo + glox + -4glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(33 + x + -4x2) = 0 Factor a trinomial. glo((3 + -1x)(11 + 4x)) = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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 '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Add '-4x' to each side of the equation. 4x + -4x = -11 + -4x Combine like terms: 4x + -4x = 0 0 = -11 + -4x Simplifying 0 = -11 + -4x 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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