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Simplifying 10m2 + -22m + 4 = 0 Reorder the terms: 4 + -22m + 10m2 = 0 Solving 4 + -22m + 10m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -11m + 5m2) = 0 Factor a trinomial. 2((1 + -5m)(2 + -1m)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {0.2, 2}
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