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Simplifying Log(7) * 5 + -1log(7) * 2x = log(7) * 20 Reorder the terms for easier multiplication: 7 * 5goL + -1log(7) * 2x = log(7) * 20 Multiply 7 * 5 35goL + -1log(7) * 2x = log(7) * 20 Reorder the terms for easier multiplication: 35goL + -1 * 7 * 2glo * x = log(7) * 20 Multiply -1 * 7 35goL + -7 * 2glo * x = log(7) * 20 Multiply -7 * 2 35goL + -14glo * x = log(7) * 20 Multiply glo * x 35goL + -14glox = log(7) * 20 Reorder the terms: -14glox + 35goL = log(7) * 20 Reorder the terms for easier multiplication: -14glox + 35goL = 7 * 20glo Multiply 7 * 20 -14glox + 35goL = 140glo Solving -14glox + 35goL = 140glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-140glo' to each side of the equation. -14glox + -140glo + 35goL = 140glo + -140glo Reorder the terms: -140glo + -14glox + 35goL = 140glo + -140glo Combine like terms: 140glo + -140glo = 0 -140glo + -14glox + 35goL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-20l + -2lx + 5L) = 0 Ignore the factor 7.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 '(-20l + -2lx + 5L)' equal to zero and attempt to solve: Simplifying -20l + -2lx + 5L = 0 Reorder the terms: 5L + -20l + -2lx = 0 Solving 5L + -20l + -2lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -20l + -5L + -2lx = 0 + -5L Reorder the terms: 5L + -5L + -20l + -2lx = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -20l + -2lx = 0 + -5L -20l + -2lx = 0 + -5L Remove the zero: -20l + -2lx = -5L Add '20l' to each side of the equation. -20l + 20l + -2lx = -5L + 20l Combine like terms: -20l + 20l = 0 0 + -2lx = -5L + 20l -2lx = -5L + 20l Add '2lx' to each side of the equation. -2lx + 2lx = -5L + 20l + 2lx Combine like terms: -2lx + 2lx = 0 0 = -5L + 20l + 2lx Simplifying 0 = -5L + 20l + 2lx 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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