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Simplifying 4m2 = 27m + 40 Reorder the terms: 4m2 = 40 + 27m Solving 4m2 = 40 + 27m Solving for variable 'm'. Reorder the terms: -40 + -27m + 4m2 = 40 + 27m + -40 + -27m Reorder the terms: -40 + -27m + 4m2 = 40 + -40 + 27m + -27m Combine like terms: 40 + -40 = 0 -40 + -27m + 4m2 = 0 + 27m + -27m -40 + -27m + 4m2 = 27m + -27m Combine like terms: 27m + -27m = 0 -40 + -27m + 4m2 = 0 Factor a trinomial. (-5 + -4m)(8 + -1m) = 0Subproblem 1
Set the factor '(-5 + -4m)' equal to zero and attempt to solve: Simplifying -5 + -4m = 0 Solving -5 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4m = 0 + 5 -4m = 0 + 5 Combine like terms: 0 + 5 = 5 -4m = 5 Divide each side by '-4'. m = -1.25 Simplifying m = -1.25Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-1.25, 8}
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