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Simplifying log(x2 + 3x + -14) = 0 Reorder the terms: glo(-14 + 3x + x2) = 0 (-14 * glo + 3x * glo + x2 * glo) = 0 (-14glo + 3glox + glox2) = 0 Solving -14glo + 3glox + glox2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'glo'. glo(-14 + 3x + 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 '(-14 + 3x + x2)' equal to zero and attempt to solve: Simplifying -14 + 3x + x2 = 0 Solving -14 + 3x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 3x + 14 + x2 = 0 + 14 Reorder the terms: -14 + 14 + 3x + x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x + x2 = 0 + 14 3x + x2 = 0 + 14 Combine like terms: 0 + 14 = 14 3x + x2 = 14 Add '-3x' to each side of the equation. 3x + -3x + x2 = 14 + -3x Combine like terms: 3x + -3x = 0 0 + x2 = 14 + -3x x2 = 14 + -3x Add '-1x2' to each side of the equation. x2 + -1x2 = 14 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 14 + -3x + -1x2 Simplifying 0 = 14 + -3x + -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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