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Simplifying (5m + 2)(2m + -7) = 0 Reorder the terms: (2 + 5m)(2m + -7) = 0 Reorder the terms: (2 + 5m)(-7 + 2m) = 0 Multiply (2 + 5m) * (-7 + 2m) (2(-7 + 2m) + 5m * (-7 + 2m)) = 0 ((-7 * 2 + 2m * 2) + 5m * (-7 + 2m)) = 0 ((-14 + 4m) + 5m * (-7 + 2m)) = 0 (-14 + 4m + (-7 * 5m + 2m * 5m)) = 0 (-14 + 4m + (-35m + 10m2)) = 0 Combine like terms: 4m + -35m = -31m (-14 + -31m + 10m2) = 0 Solving -14 + -31m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -5m)(7 + -2m) = 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 '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Solution
m = {-0.4, 3.5}
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