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Simplifying 7m2 + m + -30 = 0 Reorder the terms: -30 + m + 7m2 = 0 Solving -30 + m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (-15 + -7m)(2 + -1m) = 0Subproblem 1
Set the factor '(-15 + -7m)' equal to zero and attempt to solve: Simplifying -15 + -7m = 0 Solving -15 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7m = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7m = 0 + 15 -7m = 0 + 15 Combine like terms: 0 + 15 = 15 -7m = 15 Divide each side by '-7'. m = -2.142857143 Simplifying m = -2.142857143Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-2.142857143, 2}
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