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Simplifying 0 = 3log(2 + -1h) 0 = (2 * 3glo + -1h * 3glo) Reorder the terms: 0 = (-3ghlo + 6glo) 0 = (-3ghlo + 6glo) Solving 0 = -3ghlo + 6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3ghlo' to each side of the equation. 0 + 3ghlo = -3ghlo + 3ghlo + 6glo Remove the zero: 3ghlo = -3ghlo + 3ghlo + 6glo Combine like terms: -3ghlo + 3ghlo = 0 3ghlo = 0 + 6glo 3ghlo = 6glo Add '-6glo' to each side of the equation. 3ghlo + -6glo = 6glo + -6glo Combine like terms: 6glo + -6glo = 0 3ghlo + -6glo = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(h + -2) = 0 Ignore the factor 3.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 '(h + -2)' equal to zero and attempt to solve: Simplifying h + -2 = 0 Reorder the terms: -2 + h = 0 Solving -2 + h = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + h = 0 + 2 h = 0 + 2 Combine like terms: 0 + 2 = 2 h = 2 Add '-1h' to each side of the equation. h + -1h = 2 + -1h Combine like terms: h + -1h = 0 0 = 2 + -1h Simplifying 0 = 2 + -1h 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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