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Simplifying log * 2(5m + -2) + -1log * 2(m + 3) = 2 Reorder the terms: glo * 2(-2 + 5m) + -1log * 2(m + 3) = 2 Reorder the terms for easier multiplication: 2glo(-2 + 5m) + -1log * 2(m + 3) = 2 (-2 * 2glo + 5m * 2glo) + -1log * 2(m + 3) = 2 Reorder the terms: (10glmo + -4glo) + -1log * 2(m + 3) = 2 (10glmo + -4glo) + -1log * 2(m + 3) = 2 Reorder the terms: 10glmo + -4glo + -1glo * 2(3 + m) = 2 Reorder the terms for easier multiplication: 10glmo + -4glo + -1 * 2glo(3 + m) = 2 Multiply -1 * 2 10glmo + -4glo + -2glo(3 + m) = 2 10glmo + -4glo + (3 * -2glo + m * -2glo) = 2 Reorder the terms: 10glmo + -4glo + (-2glmo + -6glo) = 2 10glmo + -4glo + (-2glmo + -6glo) = 2 Reorder the terms: 10glmo + -2glmo + -4glo + -6glo = 2 Combine like terms: 10glmo + -2glmo = 8glmo 8glmo + -4glo + -6glo = 2 Combine like terms: -4glo + -6glo = -10glo 8glmo + -10glo = 2 Solving 8glmo + -10glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 8glmo + -10glo = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 8glmo + -10glo = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 4glmo + -5glo) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 4glmo + -5glo)' equal to zero and attempt to solve: Simplifying -1 + 4glmo + -5glo = 0 Solving -1 + 4glmo + -5glo = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4glmo + 1 + -5glo = 0 + 1 Reorder the terms: -1 + 1 + 4glmo + -5glo = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4glmo + -5glo = 0 + 1 4glmo + -5glo = 0 + 1 Combine like terms: 0 + 1 = 1 4glmo + -5glo = 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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