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Simplifying (2m + -3)(2m + -3) = 0 Reorder the terms: (-3 + 2m)(2m + -3) = 0 Reorder the terms: (-3 + 2m)(-3 + 2m) = 0 Multiply (-3 + 2m) * (-3 + 2m) (-3(-3 + 2m) + 2m * (-3 + 2m)) = 0 ((-3 * -3 + 2m * -3) + 2m * (-3 + 2m)) = 0 ((9 + -6m) + 2m * (-3 + 2m)) = 0 (9 + -6m + (-3 * 2m + 2m * 2m)) = 0 (9 + -6m + (-6m + 4m2)) = 0 Combine like terms: -6m + -6m = -12m (9 + -12m + 4m2) = 0 Solving 9 + -12m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -2m)(3 + -2m) = 0Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Subproblem 2
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Solution
m = {1.5, 1.5}
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