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Simplifying 5m2 = 4m + 1 Reorder the terms: 5m2 = 1 + 4m Solving 5m2 = 1 + 4m Solving for variable 'm'. Reorder the terms: -1 + -4m + 5m2 = 1 + 4m + -1 + -4m Reorder the terms: -1 + -4m + 5m2 = 1 + -1 + 4m + -4m Combine like terms: 1 + -1 = 0 -1 + -4m + 5m2 = 0 + 4m + -4m -1 + -4m + 5m2 = 4m + -4m Combine like terms: 4m + -4m = 0 -1 + -4m + 5m2 = 0 Factor a trinomial. (-1 + -5m)(1 + -1m) = 0Subproblem 1
Set the factor '(-1 + -5m)' equal to zero and attempt to solve: Simplifying -1 + -5m = 0 Solving -1 + -5m = 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 + -5m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5m = 0 + 1 -5m = 0 + 1 Combine like terms: 0 + 1 = 1 -5m = 1 Divide each side by '-5'. m = -0.2 Simplifying m = -0.2Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-0.2, 1}
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