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Simplifying 4m2 = 7m + 57 Reorder the terms: 4m2 = 57 + 7m Solving 4m2 = 57 + 7m Solving for variable 'm'. Reorder the terms: -57 + -7m + 4m2 = 57 + 7m + -57 + -7m Reorder the terms: -57 + -7m + 4m2 = 57 + -57 + 7m + -7m Combine like terms: 57 + -57 = 0 -57 + -7m + 4m2 = 0 + 7m + -7m -57 + -7m + 4m2 = 7m + -7m Combine like terms: 7m + -7m = 0 -57 + -7m + 4m2 = 0 Factor a trinomial. (-3 + -1m)(19 + -4m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 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 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
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 = 4.75Solution
m = {-3, 4.75}
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