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Simplifying (5m + 1)(m + 6) = 0 Reorder the terms: (1 + 5m)(m + 6) = 0 Reorder the terms: (1 + 5m)(6 + m) = 0 Multiply (1 + 5m) * (6 + m) (1(6 + m) + 5m * (6 + m)) = 0 ((6 * 1 + m * 1) + 5m * (6 + m)) = 0 ((6 + 1m) + 5m * (6 + m)) = 0 (6 + 1m + (6 * 5m + m * 5m)) = 0 (6 + 1m + (30m + 5m2)) = 0 Combine like terms: 1m + 30m = 31m (6 + 31m + 5m2) = 0 Solving 6 + 31m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (6 + m)(1 + 5m) = 0Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve: Simplifying 6 + m = 0 Solving 6 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m = 0 + -6 m = 0 + -6 Combine like terms: 0 + -6 = -6 m = -6 Simplifying m = -6Subproblem 2
Set the factor '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2Solution
m = {-6, -0.2}
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