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Simplifying Log(10) * x + -1log(4) * 3x + -2 = 0 Reorder the terms for easier multiplication: 10goL * x + -1log(4) * 3x + -2 = 0 Multiply goL * x 10goxL + -1log(4) * 3x + -2 = 0 Reorder the terms for easier multiplication: 10goxL + -1 * 4 * 3glo * x + -2 = 0 Multiply -1 * 4 10goxL + -4 * 3glo * x + -2 = 0 Multiply -4 * 3 10goxL + -12glo * x + -2 = 0 Multiply glo * x 10goxL + -12glox + -2 = 0 Reorder the terms: -2 + -12glox + 10goxL = 0 Solving -2 + -12glox + 10goxL = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -12glox + 2 + 10goxL = 0 + 2 Reorder the terms: -2 + 2 + -12glox + 10goxL = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -12glox + 10goxL = 0 + 2 -12glox + 10goxL = 0 + 2 Combine like terms: 0 + 2 = 2 -12glox + 10goxL = 2 Reorder the terms: -2 + -12glox + 10goxL = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -12glox + 10goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -6glox + 5goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -6glox + 5goxL)' equal to zero and attempt to solve: Simplifying -1 + -6glox + 5goxL = 0 Solving -1 + -6glox + 5goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6glox + 1 + 5goxL = 0 + 1 Reorder the terms: -1 + 1 + -6glox + 5goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6glox + 5goxL = 0 + 1 -6glox + 5goxL = 0 + 1 Combine like terms: 0 + 1 = 1 -6glox + 5goxL = 1 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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