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Simplifying Log(9)(x + 2) + -1log(9)(x + -4) = log(9) * 3 Reorder the terms: goL * 9(2 + x) + -1log(9)(x + -4) = log(9) * 3 Reorder the terms for easier multiplication: 9goL(2 + x) + -1log(9)(x + -4) = log(9) * 3 (2 * 9goL + x * 9goL) + -1log(9)(x + -4) = log(9) * 3 (18goL + 9goxL) + -1log(9)(x + -4) = log(9) * 3 Reorder the terms: 18goL + 9goxL + -1glo * 9(-4 + x) = log(9) * 3 Reorder the terms for easier multiplication: 18goL + 9goxL + -1 * 9glo(-4 + x) = log(9) * 3 Multiply -1 * 9 18goL + 9goxL + -9glo(-4 + x) = log(9) * 3 18goL + 9goxL + (-4 * -9glo + x * -9glo) = log(9) * 3 18goL + 9goxL + (36glo + -9glox) = log(9) * 3 Reorder the terms: 36glo + -9glox + 18goL + 9goxL = log(9) * 3 Reorder the terms for easier multiplication: 36glo + -9glox + 18goL + 9goxL = 9 * 3glo Multiply 9 * 3 36glo + -9glox + 18goL + 9goxL = 27glo Solving 36glo + -9glox + 18goL + 9goxL = 27glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-27glo' to each side of the equation. 36glo + -9glox + 18goL + -27glo + 9goxL = 27glo + -27glo Reorder the terms: 36glo + -27glo + -9glox + 18goL + 9goxL = 27glo + -27glo Combine like terms: 36glo + -27glo = 9glo 9glo + -9glox + 18goL + 9goxL = 27glo + -27glo Combine like terms: 27glo + -27glo = 0 9glo + -9glox + 18goL + 9goxL = 0 Factor out the Greatest Common Factor (GCF), '9go'. 9go(l + -1lx + 2L + xL) = 0 Ignore the factor 9.Subproblem 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 '(l + -1lx + 2L + xL)' equal to zero and attempt to solve: Simplifying l + -1lx + 2L + xL = 0 Reorder the terms: 2L + l + -1lx + xL = 0 Solving 2L + l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + l + -1lx + -2L + xL = 0 + -2L Reorder the terms: 2L + -2L + l + -1lx + xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + l + -1lx + xL = 0 + -2L l + -1lx + xL = 0 + -2L Remove the zero: l + -1lx + xL = -2L Add '-1l' to each side of the equation. l + -1lx + -1l + xL = -2L + -1l Reorder the terms: l + -1l + -1lx + xL = -2L + -1l Combine like terms: l + -1l = 0 0 + -1lx + xL = -2L + -1l -1lx + xL = -2L + -1l Add 'lx' to each side of the equation. -1lx + lx + xL = -2L + -1l + lx Combine like terms: -1lx + lx = 0 0 + xL = -2L + -1l + lx xL = -2L + -1l + lx Add '-1xL' to each side of the equation. xL + -1xL = -2L + -1l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -2L + -1l + lx + -1xL Simplifying 0 = -2L + -1l + lx + -1xL 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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