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Simplifying 40 + 2m = -7m(m + -7) Reorder the terms: 40 + 2m = -7m(-7 + m) 40 + 2m = (-7 * -7m + m * -7m) 40 + 2m = (49m + -7m2) Solving 40 + 2m = 49m + -7m2 Solving for variable 'm'. Combine like terms: 2m + -49m = -47m 40 + -47m + 7m2 = 49m + -7m2 + -49m + 7m2 Reorder the terms: 40 + -47m + 7m2 = 49m + -49m + -7m2 + 7m2 Combine like terms: 49m + -49m = 0 40 + -47m + 7m2 = 0 + -7m2 + 7m2 40 + -47m + 7m2 = -7m2 + 7m2 Combine like terms: -7m2 + 7m2 = 0 40 + -47m + 7m2 = 0 Factor a trinomial. (1 + -1m)(40 + -7m) = 0Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 2
Set the factor '(40 + -7m)' equal to zero and attempt to solve: Simplifying 40 + -7m = 0 Solving 40 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -7m = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -7m = 0 + -40 -7m = 0 + -40 Combine like terms: 0 + -40 = -40 -7m = -40 Divide each side by '-7'. m = 5.714285714 Simplifying m = 5.714285714Solution
m = {1, 5.714285714}
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