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Simplifying -28 + m = -6m + 2 + -49m2 Reorder the terms: -28 + m = 2 + -6m + -49m2 Solving -28 + m = 2 + -6m + -49m2 Solving for variable 'm'. Reorder the terms: -28 + -2 + m + 6m + 49m2 = 2 + -6m + -49m2 + -2 + 6m + 49m2 Combine like terms: -28 + -2 = -30 -30 + m + 6m + 49m2 = 2 + -6m + -49m2 + -2 + 6m + 49m2 Combine like terms: m + 6m = 7m -30 + 7m + 49m2 = 2 + -6m + -49m2 + -2 + 6m + 49m2 Reorder the terms: -30 + 7m + 49m2 = 2 + -2 + -6m + 6m + -49m2 + 49m2 Combine like terms: 2 + -2 = 0 -30 + 7m + 49m2 = 0 + -6m + 6m + -49m2 + 49m2 -30 + 7m + 49m2 = -6m + 6m + -49m2 + 49m2 Combine like terms: -6m + 6m = 0 -30 + 7m + 49m2 = 0 + -49m2 + 49m2 -30 + 7m + 49m2 = -49m2 + 49m2 Combine like terms: -49m2 + 49m2 = 0 -30 + 7m + 49m2 = 0 Factor a trinomial. (-6 + -7m)(5 + -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 '(5 + -7m)' equal to zero and attempt to solve: Simplifying 5 + -7m = 0 Solving 5 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7m = 0 + -5 -7m = 0 + -5 Combine like terms: 0 + -5 = -5 -7m = -5 Divide each side by '-7'. m = 0.7142857143 Simplifying m = 0.7142857143Solution
m = {-0.8571428571, 0.7142857143}
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