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Simplifying 4m2 + 3m + -22 = 0 Reorder the terms: -22 + 3m + 4m2 = 0 Solving -22 + 3m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (-11 + -4m)(2 + -1m) = 0Subproblem 1
Set the factor '(-11 + -4m)' equal to zero and attempt to solve: Simplifying -11 + -4m = 0 Solving -11 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4m = 0 + 11 -4m = 0 + 11 Combine like terms: 0 + 11 = 11 -4m = 11 Divide each side by '-4'. m = -2.75 Simplifying m = -2.75Subproblem 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 = {-2.75, 2}
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