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Simplifying (2m + 1)(5m + -2) = 0 Reorder the terms: (1 + 2m)(5m + -2) = 0 Reorder the terms: (1 + 2m)(-2 + 5m) = 0 Multiply (1 + 2m) * (-2 + 5m) (1(-2 + 5m) + 2m * (-2 + 5m)) = 0 ((-2 * 1 + 5m * 1) + 2m * (-2 + 5m)) = 0 ((-2 + 5m) + 2m * (-2 + 5m)) = 0 (-2 + 5m + (-2 * 2m + 5m * 2m)) = 0 (-2 + 5m + (-4m + 10m2)) = 0 Combine like terms: 5m + -4m = 1m (-2 + 1m + 10m2) = 0 Solving -2 + 1m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (-1 + -2m)(2 + -5m) = 0Subproblem 1
Set the factor '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 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 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 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 = {-0.5, 0.4}
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