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Simplifying 4m2 + -30 = 14m Reorder the terms: -30 + 4m2 = 14m Solving -30 + 4m2 = 14m Solving for variable 'm'. Reorder the terms: -30 + -14m + 4m2 = 14m + -14m Combine like terms: 14m + -14m = 0 -30 + -14m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -7m + 2m2) = 0 Factor a trinomial. 2((-3 + -2m)(5 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -2m)' equal to zero and attempt to solve: Simplifying -3 + -2m = 0 Solving -3 + -2m = 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 + -2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2m = 0 + 3 -2m = 0 + 3 Combine like terms: 0 + 3 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-1.5, 5}
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