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