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Simplifying 42m2 + 324m + -486 = 0 Reorder the terms: -486 + 324m + 42m2 = 0 Solving -486 + 324m + 42m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6'. 6(-81 + 54m + 7m2) = 0 Factor a trinomial. 6((-9 + -1m)(9 + -7m)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 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 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9Subproblem 2
Set the factor '(9 + -7m)' equal to zero and attempt to solve: Simplifying 9 + -7m = 0 Solving 9 + -7m = 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 + -7m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7m = 0 + -9 -7m = 0 + -9 Combine like terms: 0 + -9 = -9 -7m = -9 Divide each side by '-7'. m = 1.285714286 Simplifying m = 1.285714286Solution
m = {-9, 1.285714286}
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