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Simplifying 2log[5](2 + -1x) + -1log[5] * 3 = log[5] * 75 Reorder the terms for easier multiplication: 2 * 5glo(2 + -1x) + -1log[5] * 3 = log[5] * 75 Multiply 2 * 5 10glo(2 + -1x) + -1log[5] * 3 = log[5] * 75 (2 * 10glo + -1x * 10glo) + -1log[5] * 3 = log[5] * 75 (20glo + -10glox) + -1log[5] * 3 = log[5] * 75 Reorder the terms for easier multiplication: 20glo + -10glox + -1 * 5 * 3glo = log[5] * 75 Multiply -1 * 5 20glo + -10glox + -5 * 3glo = log[5] * 75 Multiply -5 * 3 20glo + -10glox + -15glo = log[5] * 75 Reorder the terms: 20glo + -15glo + -10glox = log[5] * 75 Combine like terms: 20glo + -15glo = 5glo 5glo + -10glox = log[5] * 75 Reorder the terms for easier multiplication: 5glo + -10glox = 5 * 75glo Multiply 5 * 75 5glo + -10glox = 375glo Solving 5glo + -10glox = 375glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-375glo' to each side of the equation. 5glo + -375glo + -10glox = 375glo + -375glo Combine like terms: 5glo + -375glo = -370glo -370glo + -10glox = 375glo + -375glo Combine like terms: 375glo + -375glo = 0 -370glo + -10glox = 0 Factor out the Greatest Common Factor (GCF), '-10glo'. -10glo(37 + x) = 0 Ignore the factor -10.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 '(37 + x)' equal to zero and attempt to solve: Simplifying 37 + x = 0 Solving 37 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + x = 0 + -37 x = 0 + -37 Combine like terms: 0 + -37 = -37 x = -37 Add '-1x' to each side of the equation. x + -1x = -37 + -1x Combine like terms: x + -1x = 0 0 = -37 + -1x Simplifying 0 = -37 + -1x 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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