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Simplifying (5m + -6)(5m + -6) = 0 Reorder the terms: (-6 + 5m)(5m + -6) = 0 Reorder the terms: (-6 + 5m)(-6 + 5m) = 0 Multiply (-6 + 5m) * (-6 + 5m) (-6(-6 + 5m) + 5m * (-6 + 5m)) = 0 ((-6 * -6 + 5m * -6) + 5m * (-6 + 5m)) = 0 ((36 + -30m) + 5m * (-6 + 5m)) = 0 (36 + -30m + (-6 * 5m + 5m * 5m)) = 0 (36 + -30m + (-30m + 25m2)) = 0 Combine like terms: -30m + -30m = -60m (36 + -60m + 25m2) = 0 Solving 36 + -60m + 25m2 = 0 Solving for variable 'm'. Factor a trinomial. (6 + -5m)(6 + -5m) = 0Subproblem 1
Set the factor '(6 + -5m)' equal to zero and attempt to solve: Simplifying 6 + -5m = 0 Solving 6 + -5m = 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 + -5m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = 0 + -6 -5m = 0 + -6 Combine like terms: 0 + -6 = -6 -5m = -6 Divide each side by '-5'. m = 1.2 Simplifying m = 1.2Subproblem 2
Set the factor '(6 + -5m)' equal to zero and attempt to solve: Simplifying 6 + -5m = 0 Solving 6 + -5m = 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 + -5m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = 0 + -6 -5m = 0 + -6 Combine like terms: 0 + -6 = -6 -5m = -6 Divide each side by '-5'. m = 1.2 Simplifying m = 1.2Solution
m = {1.2, 1.2}
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