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Simplifying 56m2 + -63 + 7m = 0 Reorder the terms: -63 + 7m + 56m2 = 0 Solving -63 + 7m + 56m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '7'. 7(-9 + m + 8m2) = 0 Factor a trinomial. 7((-9 + -8m)(1 + -1m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-9 + -8m)' equal to zero and attempt to solve: Simplifying -9 + -8m = 0 Solving -9 + -8m = 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 + -8m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8m = 0 + 9 -8m = 0 + 9 Combine like terms: 0 + 9 = 9 -8m = 9 Divide each side by '-8'. m = -1.125 Simplifying m = -1.125Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-1.125, 1}
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