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Simplifying 4m2 + -1m + -54 = 6 Reorder the terms: -54 + -1m + 4m2 = 6 Solving -54 + -1m + 4m2 = 6 Solving for variable 'm'. Reorder the terms: -54 + -6 + -1m + 4m2 = 6 + -6 Combine like terms: -54 + -6 = -60 -60 + -1m + 4m2 = 6 + -6 Combine like terms: 6 + -6 = 0 -60 + -1m + 4m2 = 0 Factor a trinomial. (-15 + -4m)(4 + -1m) = 0Subproblem 1
Set the factor '(-15 + -4m)' equal to zero and attempt to solve: Simplifying -15 + -4m = 0 Solving -15 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4m = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4m = 0 + 15 -4m = 0 + 15 Combine like terms: 0 + 15 = 15 -4m = 15 Divide each side by '-4'. m = -3.75 Simplifying m = -3.75Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-3.75, 4}
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