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Simplifying 4(3m + 4) = w(6m + 8) Reorder the terms: 4(4 + 3m) = w(6m + 8) (4 * 4 + 3m * 4) = w(6m + 8) (16 + 12m) = w(6m + 8) Reorder the terms: 16 + 12m = w(8 + 6m) 16 + 12m = (8 * w + 6m * w) Reorder the terms: 16 + 12m = (6mw + 8w) 16 + 12m = (6mw + 8w) Solving 16 + 12m = 6mw + 8w Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6mw' to each side of the equation. 16 + 12m + -6mw = 6mw + -6mw + 8w Combine like terms: 6mw + -6mw = 0 16 + 12m + -6mw = 0 + 8w 16 + 12m + -6mw = 8w Add '-16' to each side of the equation. 16 + 12m + -16 + -6mw = -16 + 8w Reorder the terms: 16 + -16 + 12m + -6mw = -16 + 8w Combine like terms: 16 + -16 = 0 0 + 12m + -6mw = -16 + 8w 12m + -6mw = -16 + 8w Reorder the terms: 16 + 12m + -6mw + -8w = -16 + 8w + 16 + -8w Reorder the terms: 16 + 12m + -6mw + -8w = -16 + 16 + 8w + -8w Combine like terms: -16 + 16 = 0 16 + 12m + -6mw + -8w = 0 + 8w + -8w 16 + 12m + -6mw + -8w = 8w + -8w Combine like terms: 8w + -8w = 0 16 + 12m + -6mw + -8w = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 6m + -3mw + -4w) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 6m + -3mw + -4w)' equal to zero and attempt to solve: Simplifying 8 + 6m + -3mw + -4w = 0 Solving 8 + 6m + -3mw + -4w = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 6m + -3mw + -8 + -4w = 0 + -8 Reorder the terms: 8 + -8 + 6m + -3mw + -4w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6m + -3mw + -4w = 0 + -8 6m + -3mw + -4w = 0 + -8 Combine like terms: 0 + -8 = -8 6m + -3mw + -4w = -8 Add '4w' to each side of the equation. 6m + -3mw + -4w + 4w = -8 + 4w Combine like terms: -4w + 4w = 0 6m + -3mw + 0 = -8 + 4w 6m + -3mw = -8 + 4w 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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