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Simplifying 7m2 = 36 + 9m Solving 7m2 = 36 + 9m Solving for variable 'm'. Reorder the terms: -36 + -9m + 7m2 = 36 + 9m + -36 + -9m Reorder the terms: -36 + -9m + 7m2 = 36 + -36 + 9m + -9m Combine like terms: 36 + -36 = 0 -36 + -9m + 7m2 = 0 + 9m + -9m -36 + -9m + 7m2 = 9m + -9m Combine like terms: 9m + -9m = 0 -36 + -9m + 7m2 = 0 Factor a trinomial. (-12 + -7m)(3 + -1m) = 0Subproblem 1
Set the factor '(-12 + -7m)' equal to zero and attempt to solve: Simplifying -12 + -7m = 0 Solving -12 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -7m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7m = 0 + 12 -7m = 0 + 12 Combine like terms: 0 + 12 = 12 -7m = 12 Divide each side by '-7'. m = -1.714285714 Simplifying m = -1.714285714Subproblem 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 = {-1.714285714, 3}
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