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Simplifying 7m2 + -14 = -47m Reorder the terms: -14 + 7m2 = -47m Solving -14 + 7m2 = -47m Solving for variable 'm'. Reorder the terms: -14 + 47m + 7m2 = -47m + 47m Combine like terms: -47m + 47m = 0 -14 + 47m + 7m2 = 0 Factor a trinomial. (-7 + -1m)(2 + -7m) = 0Subproblem 1
Set the factor '(-7 + -1m)' equal to zero and attempt to solve: Simplifying -7 + -1m = 0 Solving -7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = 0 + 7 -1m = 0 + 7 Combine like terms: 0 + 7 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7Subproblem 2
Set the factor '(2 + -7m)' equal to zero and attempt to solve: Simplifying 2 + -7m = 0 Solving 2 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7m = 0 + -2 -7m = 0 + -2 Combine like terms: 0 + -2 = -2 -7m = -2 Divide each side by '-7'. m = 0.2857142857 Simplifying m = 0.2857142857Solution
m = {-7, 0.2857142857}
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