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Simplifying 7m2 + -49m + -7 = -1m Reorder the terms: -7 + -49m + 7m2 = -1m Solving -7 + -49m + 7m2 = -1m Solving for variable 'm'. Reorder the terms: -7 + -49m + m + 7m2 = -1m + m Combine like terms: -49m + m = -48m -7 + -48m + 7m2 = -1m + m Combine like terms: -1m + m = 0 -7 + -48m + 7m2 = 0 Factor a trinomial. (-1 + -7m)(7 + -1m) = 0Subproblem 1
Set the factor '(-1 + -7m)' equal to zero and attempt to solve: Simplifying -1 + -7m = 0 Solving -1 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7m = 0 + 1 -7m = 0 + 1 Combine like terms: 0 + 1 = 1 -7m = 1 Divide each side by '-7'. m = -0.1428571429 Simplifying m = -0.1428571429Subproblem 2
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 = 7Solution
m = {-0.1428571429, 7}
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