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Simplifying 14m2 + 392 = 161m Reorder the terms: 392 + 14m2 = 161m Solving 392 + 14m2 = 161m Solving for variable 'm'. Reorder the terms: 392 + -161m + 14m2 = 161m + -161m Combine like terms: 161m + -161m = 0 392 + -161m + 14m2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(56 + -23m + 2m2) = 0 Factor a trinomial. 7((7 + -2m)(8 + -1m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 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 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {3.5, 8}
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