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Simplifying (m + 2)(5m + 2) = 0 Reorder the terms: (2 + m)(5m + 2) = 0 Reorder the terms: (2 + m)(2 + 5m) = 0 Multiply (2 + m) * (2 + 5m) (2(2 + 5m) + m(2 + 5m)) = 0 ((2 * 2 + 5m * 2) + m(2 + 5m)) = 0 ((4 + 10m) + m(2 + 5m)) = 0 (4 + 10m + (2 * m + 5m * m)) = 0 (4 + 10m + (2m + 5m2)) = 0 Combine like terms: 10m + 2m = 12m (4 + 12m + 5m2) = 0 Solving 4 + 12m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + m)(2 + 5m) = 0Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 2
Set the factor '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4Solution
m = {-2, -0.4}
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