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Simplifying 4m2 = -4m + 3 Reorder the terms: 4m2 = 3 + -4m Solving 4m2 = 3 + -4m Solving for variable 'm'. Reorder the terms: -3 + 4m + 4m2 = 3 + -4m + -3 + 4m Reorder the terms: -3 + 4m + 4m2 = 3 + -3 + -4m + 4m Combine like terms: 3 + -3 = 0 -3 + 4m + 4m2 = 0 + -4m + 4m -3 + 4m + 4m2 = -4m + 4m Combine like terms: -4m + 4m = 0 -3 + 4m + 4m2 = 0 Factor a trinomial. (-3 + -2m)(1 + -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 '(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 = 0.5Solution
m = {-1.5, 0.5}
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