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Simplifying Log(8) * 4 + -1log(8) * 4x = log(8) * 56 Reorder the terms for easier multiplication: 8 * 4goL + -1log(8) * 4x = log(8) * 56 Multiply 8 * 4 32goL + -1log(8) * 4x = log(8) * 56 Reorder the terms for easier multiplication: 32goL + -1 * 8 * 4glo * x = log(8) * 56 Multiply -1 * 8 32goL + -8 * 4glo * x = log(8) * 56 Multiply -8 * 4 32goL + -32glo * x = log(8) * 56 Multiply glo * x 32goL + -32glox = log(8) * 56 Reorder the terms: -32glox + 32goL = log(8) * 56 Reorder the terms for easier multiplication: -32glox + 32goL = 8 * 56glo Multiply 8 * 56 -32glox + 32goL = 448glo Solving -32glox + 32goL = 448glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-448glo' to each side of the equation. -32glox + -448glo + 32goL = 448glo + -448glo Reorder the terms: -448glo + -32glox + 32goL = 448glo + -448glo Combine like terms: 448glo + -448glo = 0 -448glo + -32glox + 32goL = 0 Factor out the Greatest Common Factor (GCF), '32go'. 32go(-14l + -1lx + L) = 0 Ignore the factor 32.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 '(-14l + -1lx + L)' equal to zero and attempt to solve: Simplifying -14l + -1lx + L = 0 Reorder the terms: L + -14l + -1lx = 0 Solving L + -14l + -1lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -14l + -1L + -1lx = 0 + -1L Reorder the terms: L + -1L + -14l + -1lx = 0 + -1L Combine like terms: L + -1L = 0 0 + -14l + -1lx = 0 + -1L -14l + -1lx = 0 + -1L Remove the zero: -14l + -1lx = -1L Add '14l' to each side of the equation. -14l + 14l + -1lx = -1L + 14l Combine like terms: -14l + 14l = 0 0 + -1lx = -1L + 14l -1lx = -1L + 14l Add 'lx' to each side of the equation. -1lx + lx = -1L + 14l + lx Combine like terms: -1lx + lx = 0 0 = -1L + 14l + lx Simplifying 0 = -1L + 14l + lx 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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