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Simplifying 8m2 + 5m + 4 = 7 + 3m Reorder the terms: 4 + 5m + 8m2 = 7 + 3m Solving 4 + 5m + 8m2 = 7 + 3m Solving for variable 'm'. Reorder the terms: 4 + -7 + 5m + -3m + 8m2 = 7 + 3m + -7 + -3m Combine like terms: 4 + -7 = -3 -3 + 5m + -3m + 8m2 = 7 + 3m + -7 + -3m Combine like terms: 5m + -3m = 2m -3 + 2m + 8m2 = 7 + 3m + -7 + -3m Reorder the terms: -3 + 2m + 8m2 = 7 + -7 + 3m + -3m Combine like terms: 7 + -7 = 0 -3 + 2m + 8m2 = 0 + 3m + -3m -3 + 2m + 8m2 = 3m + -3m Combine like terms: 3m + -3m = 0 -3 + 2m + 8m2 = 0 Factor a trinomial. (-3 + -4m)(1 + -2m) = 0Subproblem 1
Set the factor '(-3 + -4m)' equal to zero and attempt to solve: Simplifying -3 + -4m = 0 Solving -3 + -4m = 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 + -4m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4m = 0 + 3 -4m = 0 + 3 Combine like terms: 0 + 3 = 3 -4m = 3 Divide each side by '-4'. m = -0.75 Simplifying m = -0.75Subproblem 2
Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {-0.75, 0.5}
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