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Simplifying log(8x2) + -1log(2x) = log(2x) + log(x + 4) Remove parenthesis around (8x2) glo * 8x2 + -1log(2x) = log(2x) + log(x + 4) Reorder the terms for easier multiplication: 8glo * x2 + -1log(2x) = log(2x) + log(x + 4) Multiply glo * x2 8glox2 + -1log(2x) = log(2x) + log(x + 4) Remove parenthesis around (2x) 8glox2 + -1glo * 2x = log(2x) + log(x + 4) Reorder the terms for easier multiplication: 8glox2 + -1 * 2glo * x = log(2x) + log(x + 4) Multiply -1 * 2 8glox2 + -2glo * x = log(2x) + log(x + 4) Multiply glo * x 8glox2 + -2glox = log(2x) + log(x + 4) Reorder the terms: -2glox + 8glox2 = log(2x) + log(x + 4) Remove parenthesis around (2x) -2glox + 8glox2 = glo * 2x + log(x + 4) Reorder the terms for easier multiplication: -2glox + 8glox2 = 2glo * x + log(x + 4) Multiply glo * x -2glox + 8glox2 = 2glox + log(x + 4) Reorder the terms: -2glox + 8glox2 = 2glox + glo(4 + x) -2glox + 8glox2 = 2glox + (4 * glo + x * glo) -2glox + 8glox2 = 2glox + (4glo + glox) Reorder the terms: -2glox + 8glox2 = 4glo + 2glox + glox Combine like terms: 2glox + glox = 3glox -2glox + 8glox2 = 4glo + 3glox Solving -2glox + 8glox2 = 4glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. -2glox + -4glo + 8glox2 = 4glo + -4glo + 3glox Reorder the terms: -4glo + -2glox + 8glox2 = 4glo + -4glo + 3glox Combine like terms: 4glo + -4glo = 0 -4glo + -2glox + 8glox2 = 0 + 3glox -4glo + -2glox + 8glox2 = 3glox Add '-3glox' to each side of the equation. -4glo + -2glox + -3glox + 8glox2 = 3glox + -3glox Combine like terms: -2glox + -3glox = -5glox -4glo + -5glox + 8glox2 = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 -4glo + -5glox + 8glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-4 + -5x + 8x2) = 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 '(-4 + -5x + 8x2)' equal to zero and attempt to solve: Simplifying -4 + -5x + 8x2 = 0 Solving -4 + -5x + 8x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5x + 4 + 8x2 = 0 + 4 Reorder the terms: -4 + 4 + -5x + 8x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x + 8x2 = 0 + 4 -5x + 8x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -5x + 8x2 = 4 Add '5x' to each side of the equation. -5x + 5x + 8x2 = 4 + 5x Combine like terms: -5x + 5x = 0 0 + 8x2 = 4 + 5x 8x2 = 4 + 5x Add '-8x2' to each side of the equation. 8x2 + -8x2 = 4 + 5x + -8x2 Combine like terms: 8x2 + -8x2 = 0 0 = 4 + 5x + -8x2 Simplifying 0 = 4 + 5x + -8x2 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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