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Simplifying Log(x2 + 2x) = log(x2 + -18) Reorder the terms: goL(2x + x2) = log(x2 + -18) (2x * goL + x2 * goL) = log(x2 + -18) (2goxL + gox2L) = log(x2 + -18) Reorder the terms: 2goxL + gox2L = glo(-18 + x2) 2goxL + gox2L = (-18 * glo + x2 * glo) 2goxL + gox2L = (-18glo + glox2) Solving 2goxL + gox2L = -18glo + glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '18glo' to each side of the equation. 2goxL + 18glo + gox2L = -18glo + 18glo + glox2 Reorder the terms: 18glo + 2goxL + gox2L = -18glo + 18glo + glox2 Combine like terms: -18glo + 18glo = 0 18glo + 2goxL + gox2L = 0 + glox2 18glo + 2goxL + gox2L = glox2 Add '-1glox2' to each side of the equation. 18glo + 2goxL + -1glox2 + gox2L = glox2 + -1glox2 Reorder the terms: 18glo + -1glox2 + 2goxL + gox2L = glox2 + -1glox2 Combine like terms: glox2 + -1glox2 = 0 18glo + -1glox2 + 2goxL + gox2L = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(18l + -1lx2 + 2xL + x2L) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(18l + -1lx2 + 2xL + x2L)' equal to zero and attempt to solve: Simplifying 18l + -1lx2 + 2xL + x2L = 0 Solving 18l + -1lx2 + 2xL + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '-18l' to each side of the equation. 18l + -1lx2 + 2xL + -18l + x2L = 0 + -18l Reorder the terms: 18l + -18l + -1lx2 + 2xL + x2L = 0 + -18l Combine like terms: 18l + -18l = 0 0 + -1lx2 + 2xL + x2L = 0 + -18l -1lx2 + 2xL + x2L = 0 + -18l Remove the zero: -1lx2 + 2xL + x2L = -18l Add 'lx2' to each side of the equation. -1lx2 + 2xL + lx2 + x2L = -18l + lx2 Reorder the terms: -1lx2 + lx2 + 2xL + x2L = -18l + lx2 Combine like terms: -1lx2 + lx2 = 0 0 + 2xL + x2L = -18l + lx2 2xL + x2L = -18l + lx2 Add '-2xL' to each side of the equation. 2xL + -2xL + x2L = -18l + lx2 + -2xL Combine like terms: 2xL + -2xL = 0 0 + x2L = -18l + lx2 + -2xL x2L = -18l + lx2 + -2xL Add '-1x2L' to each side of the equation. x2L + -1x2L = -18l + lx2 + -2xL + -1x2L Combine like terms: x2L + -1x2L = 0 0 = -18l + lx2 + -2xL + -1x2L Simplifying 0 = -18l + lx2 + -2xL + -1x2L 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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