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Simplifying 4m2 + 11m + -38 = 0 Reorder the terms: -38 + 11m + 4m2 = 0 Solving -38 + 11m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (-19 + -4m)(2 + -1m) = 0Subproblem 1
Set the factor '(-19 + -4m)' equal to zero and attempt to solve: Simplifying -19 + -4m = 0 Solving -19 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4m = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4m = 0 + 19 -4m = 0 + 19 Combine like terms: 0 + 19 = 19 -4m = 19 Divide each side by '-4'. m = -4.75 Simplifying m = -4.75Subproblem 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 = {-4.75, 2}
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