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Simplifying (5m + 2)(m + -2) = 0 Reorder the terms: (2 + 5m)(m + -2) = 0 Reorder the terms: (2 + 5m)(-2 + m) = 0 Multiply (2 + 5m) * (-2 + m) (2(-2 + m) + 5m * (-2 + m)) = 0 ((-2 * 2 + m * 2) + 5m * (-2 + m)) = 0 ((-4 + 2m) + 5m * (-2 + m)) = 0 (-4 + 2m + (-2 * 5m + m * 5m)) = 0 (-4 + 2m + (-10m + 5m2)) = 0 Combine like terms: 2m + -10m = -8m (-4 + -8m + 5m2) = 0 Solving -4 + -8m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -5m)(2 + -1m) = 0Subproblem 1
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 = -0.4Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-0.4, 2}
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