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Simplifying 2log[5](2 + -1x) * zlog[5] * 3 = log[5] * 75 Reorder the terms for easier multiplication: 2 * 5 * 5 * 3glo * gloz(2 + -1x) = log[5] * 75 Multiply 2 * 5 10 * 5 * 3glo * gloz(2 + -1x) = log[5] * 75 Multiply 10 * 5 50 * 3glo * gloz(2 + -1x) = log[5] * 75 Multiply 50 * 3 150glo * gloz(2 + -1x) = log[5] * 75 Multiply glo * gloz 150g2l2o2z(2 + -1x) = log[5] * 75 (2 * 150g2l2o2z + -1x * 150g2l2o2z) = log[5] * 75 Reorder the terms: (-150g2l2o2xz + 300g2l2o2z) = log[5] * 75 (-150g2l2o2xz + 300g2l2o2z) = log[5] * 75 Reorder the terms for easier multiplication: -150g2l2o2xz + 300g2l2o2z = 5 * 75glo Multiply 5 * 75 -150g2l2o2xz + 300g2l2o2z = 375glo Solving -150g2l2o2xz + 300g2l2o2z = 375glo Solving for variable 'g'. Reorder the terms: -375glo + -150g2l2o2xz + 300g2l2o2z = 375glo + -375glo Combine like terms: 375glo + -375glo = 0 -375glo + -150g2l2o2xz + 300g2l2o2z = 0 Factor out the Greatest Common Factor (GCF), '75glo'. 75glo(-5 + -2gloxz + 4gloz) = 0 Ignore the factor 75.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-5 + -2gloxz + 4gloz)' equal to zero and attempt to solve: Simplifying -5 + -2gloxz + 4gloz = 0 Solving -5 + -2gloxz + 4gloz = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -2gloxz + 5 + 4gloz = 0 + 5 Reorder the terms: -5 + 5 + -2gloxz + 4gloz = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2gloxz + 4gloz = 0 + 5 -2gloxz + 4gloz = 0 + 5 Combine like terms: 0 + 5 = 5 -2gloxz + 4gloz = 5 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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