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Simplifying log(x3 + -27) + -1log(x2 + 3x + 9) + log(x + 3) = 0 Reorder the terms: glo(-27 + x3) + -1log(x2 + 3x + 9) + log(x + 3) = 0 (-27 * glo + x3 * glo) + -1log(x2 + 3x + 9) + log(x + 3) = 0 (-27glo + glox3) + -1log(x2 + 3x + 9) + log(x + 3) = 0 Reorder the terms: -27glo + glox3 + -1glo(9 + 3x + x2) + log(x + 3) = 0 -27glo + glox3 + (9 * -1glo + 3x * -1glo + x2 * -1glo) + log(x + 3) = 0 -27glo + glox3 + (-9glo + -3glox + -1glox2) + log(x + 3) = 0 Reorder the terms: -27glo + glox3 + -9glo + -3glox + -1glox2 + glo(3 + x) = 0 -27glo + glox3 + -9glo + -3glox + -1glox2 + (3 * glo + x * glo) = 0 -27glo + glox3 + -9glo + -3glox + -1glox2 + (3glo + glox) = 0 Reorder the terms: -27glo + -9glo + 3glo + -3glox + glox + -1glox2 + glox3 = 0 Combine like terms: -27glo + -9glo = -36glo -36glo + 3glo + -3glox + glox + -1glox2 + glox3 = 0 Combine like terms: -36glo + 3glo = -33glo -33glo + -3glox + glox + -1glox2 + glox3 = 0 Combine like terms: -3glox + glox = -2glox -33glo + -2glox + -1glox2 + glox3 = 0 Solving -33glo + -2glox + -1glox2 + glox3 = 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(-33 + -2x + -1x2 + x3) = 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 '(-33 + -2x + -1x2 + x3)' equal to zero and attempt to solve: Simplifying -33 + -2x + -1x2 + x3 = 0 Solving -33 + -2x + -1x2 + x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '33' to each side of the equation. -33 + -2x + -1x2 + 33 + x3 = 0 + 33 Reorder the terms: -33 + 33 + -2x + -1x2 + x3 = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -2x + -1x2 + x3 = 0 + 33 -2x + -1x2 + x3 = 0 + 33 Combine like terms: 0 + 33 = 33 -2x + -1x2 + x3 = 33 Add '2x' to each side of the equation. -2x + -1x2 + 2x + x3 = 33 + 2x Reorder the terms: -2x + 2x + -1x2 + x3 = 33 + 2x Combine like terms: -2x + 2x = 0 0 + -1x2 + x3 = 33 + 2x -1x2 + x3 = 33 + 2x Add 'x2' to each side of the equation. -1x2 + x2 + x3 = 33 + 2x + x2 Combine like terms: -1x2 + x2 = 0 0 + x3 = 33 + 2x + x2 x3 = 33 + 2x + x2 Add '-1x3' to each side of the equation. x3 + -1x3 = 33 + 2x + x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 33 + 2x + x2 + -1x3 Simplifying 0 = 33 + 2x + x2 + -1x3 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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