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Simplifying 7m * m + -22m + -24 = 0 Multiply m * m 7m2 + -22m + -24 = 0 Reorder the terms: -24 + -22m + 7m2 = 0 Solving -24 + -22m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (-6 + -7m)(4 + -1m) = 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 '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-0.8571428571, 4}
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