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Simplifying xlog(x + -1) + -1xlog(x2 + -8x + 15) = 0 Reorder the terms: glox(-1 + x) + -1xlog(x2 + -8x + 15) = 0 (-1 * glox + x * glox) + -1xlog(x2 + -8x + 15) = 0 (-1glox + glox2) + -1xlog(x2 + -8x + 15) = 0 Reorder the terms: -1glox + glox2 + -1glox(15 + -8x + x2) = 0 -1glox + glox2 + (15 * -1glox + -8x * -1glox + x2 * -1glox) = 0 -1glox + glox2 + (-15glox + 8glox2 + -1glox3) = 0 Reorder the terms: -1glox + -15glox + glox2 + 8glox2 + -1glox3 = 0 Combine like terms: -1glox + -15glox = -16glox -16glox + glox2 + 8glox2 + -1glox3 = 0 Combine like terms: glox2 + 8glox2 = 9glox2 -16glox + 9glox2 + -1glox3 = 0 Solving -16glox + 9glox2 + -1glox3 = 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), 'glox'. glox(-16 + 9x + -1x2) = 0Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 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 '(-16 + 9x + -1x2)' equal to zero and attempt to solve: Simplifying -16 + 9x + -1x2 = 0 Solving -16 + 9x + -1x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 9x + 16 + -1x2 = 0 + 16 Reorder the terms: -16 + 16 + 9x + -1x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9x + -1x2 = 0 + 16 9x + -1x2 = 0 + 16 Combine like terms: 0 + 16 = 16 9x + -1x2 = 16 Add '-9x' to each side of the equation. 9x + -9x + -1x2 = 16 + -9x Combine like terms: 9x + -9x = 0 0 + -1x2 = 16 + -9x -1x2 = 16 + -9x Add 'x2' to each side of the equation. -1x2 + x2 = 16 + -9x + x2 Combine like terms: -1x2 + x2 = 0 0 = 16 + -9x + x2 Simplifying 0 = 16 + -9x + x2 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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