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Simplifying 5m2 + 20m = 105 Reorder the terms: 20m + 5m2 = 105 Solving 20m + 5m2 = 105 Solving for variable 'm'. Reorder the terms: -105 + 20m + 5m2 = 105 + -105 Combine like terms: 105 + -105 = 0 -105 + 20m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-21 + 4m + m2) = 0 Factor a trinomial. 5((-7 + -1m)(3 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + -1m)' equal to zero and attempt to solve: Simplifying -7 + -1m = 0 Solving -7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = 0 + 7 -1m = 0 + 7 Combine like terms: 0 + 7 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7Subproblem 2
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 = 3Solution
m = {-7, 3}
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