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Simplifying 4m2 = 36 + 10m Solving 4m2 = 36 + 10m Solving for variable 'm'. Reorder the terms: -36 + -10m + 4m2 = 36 + 10m + -36 + -10m Reorder the terms: -36 + -10m + 4m2 = 36 + -36 + 10m + -10m Combine like terms: 36 + -36 = 0 -36 + -10m + 4m2 = 0 + 10m + -10m -36 + -10m + 4m2 = 10m + -10m Combine like terms: 10m + -10m = 0 -36 + -10m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + -5m + 2m2) = 0 Factor a trinomial. 2((-2 + -1m)(9 + -2m)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
Set the factor '(9 + -2m)' equal to zero and attempt to solve: Simplifying 9 + -2m = 0 Solving 9 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = 0 + -9 -2m = 0 + -9 Combine like terms: 0 + -9 = -9 -2m = -9 Divide each side by '-2'. m = 4.5 Simplifying m = 4.5Solution
m = {-2, 4.5}
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