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Simplifying 6m2 + m + -70 = 0 Reorder the terms: -70 + m + 6m2 = 0 Solving -70 + m + 6m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -2m)(10 + -3m) = 0Subproblem 1
Set the factor '(-7 + -2m)' equal to zero and attempt to solve: Simplifying -7 + -2m = 0 Solving -7 + -2m = 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 + -2m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2m = 0 + 7 -2m = 0 + 7 Combine like terms: 0 + 7 = 7 -2m = 7 Divide each side by '-2'. m = -3.5 Simplifying m = -3.5Subproblem 2
Set the factor '(10 + -3m)' equal to zero and attempt to solve: Simplifying 10 + -3m = 0 Solving 10 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3m = 0 + -10 -3m = 0 + -10 Combine like terms: 0 + -10 = -10 -3m = -10 Divide each side by '-3'. m = 3.333333333 Simplifying m = 3.333333333Solution
m = {-3.5, 3.333333333}
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