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Simplifying 49m2 + -84m = -36 Reorder the terms: -84m + 49m2 = -36 Solving -84m + 49m2 = -36 Solving for variable 'm'. Reorder the terms: 36 + -84m + 49m2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -84m + 49m2 = 0 Factor a trinomial. (6 + -7m)(6 + -7m) = 0Subproblem 1
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 = 0.8571428571Subproblem 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 = {0.8571428571, 0.8571428571}
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