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Simplifying (M + 3)(2m + 10) = 0 Reorder the terms: (3 + M)(2m + 10) = 0 Reorder the terms: (3 + M)(10 + 2m) = 0 Multiply (3 + M) * (10 + 2m) (3(10 + 2m) + M(10 + 2m)) = 0 ((10 * 3 + 2m * 3) + M(10 + 2m)) = 0 ((30 + 6m) + M(10 + 2m)) = 0 (30 + 6m + (10 * M + 2m * M)) = 0 (30 + 6m + (10M + 2mM)) = 0 Reorder the terms: (30 + 10M + 6m + 2mM) = 0 (30 + 10M + 6m + 2mM) = 0 Solving 30 + 10M + 6m + 2mM = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 10M + 6m + -30 + 2mM = 0 + -30 Reorder the terms: 30 + -30 + 10M + 6m + 2mM = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10M + 6m + 2mM = 0 + -30 10M + 6m + 2mM = 0 + -30 Combine like terms: 0 + -30 = -30 10M + 6m + 2mM = -30 Add '-6m' to each side of the equation. 10M + 6m + -6m + 2mM = -30 + -6m Combine like terms: 6m + -6m = 0 10M + 0 + 2mM = -30 + -6m 10M + 2mM = -30 + -6m Reorder the terms: 30 + 10M + 6m + 2mM = -30 + -6m + 30 + 6m Reorder the terms: 30 + 10M + 6m + 2mM = -30 + 30 + -6m + 6m Combine like terms: -30 + 30 = 0 30 + 10M + 6m + 2mM = 0 + -6m + 6m 30 + 10M + 6m + 2mM = -6m + 6m Combine like terms: -6m + 6m = 0 30 + 10M + 6m + 2mM = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 5M + 3m + mM) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + 5M + 3m + mM)' equal to zero and attempt to solve: Simplifying 15 + 5M + 3m + mM = 0 Solving 15 + 5M + 3m + mM = 0 Move all terms containing M to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5M + 3m + -15 + mM = 0 + -15 Reorder the terms: 15 + -15 + 5M + 3m + mM = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5M + 3m + mM = 0 + -15 5M + 3m + mM = 0 + -15 Combine like terms: 0 + -15 = -15 5M + 3m + mM = -15 Add '-3m' to each side of the equation. 5M + 3m + -3m + mM = -15 + -3m Combine like terms: 3m + -3m = 0 5M + 0 + mM = -15 + -3m 5M + mM = -15 + -3m 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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