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Simplifying 7m2 = 36 + -36m Solving 7m2 = 36 + -36m Solving for variable 'm'. Reorder the terms: -36 + 36m + 7m2 = 36 + -36m + -36 + 36m Reorder the terms: -36 + 36m + 7m2 = 36 + -36 + -36m + 36m Combine like terms: 36 + -36 = 0 -36 + 36m + 7m2 = 0 + -36m + 36m -36 + 36m + 7m2 = -36m + 36m Combine like terms: -36m + 36m = 0 -36 + 36m + 7m2 = 0 Factor a trinomial. (-6 + -1m)(6 + -7m) = 0Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6Subproblem 2
Set the factor '(6 + -7m)' equal to zero and attempt to solve: Simplifying 6 + -7m = 0 Solving 6 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7m = 0 + -6 -7m = 0 + -6 Combine like terms: 0 + -6 = -6 -7m = -6 Divide each side by '-7'. m = 0.8571428571 Simplifying m = 0.8571428571Solution
m = {-6, 0.8571428571}
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