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Simplifying 3m2 + -98 = -7m Reorder the terms: -98 + 3m2 = -7m Solving -98 + 3m2 = -7m Solving for variable 'm'. Reorder the terms: -98 + 7m + 3m2 = -7m + 7m Combine like terms: -7m + 7m = 0 -98 + 7m + 3m2 = 0 Factor a trinomial. (-7 + -1m)(14 + -3m) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(14 + -3m)' equal to zero and attempt to solve: Simplifying 14 + -3m = 0 Solving 14 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3m = 0 + -14 -3m = 0 + -14 Combine like terms: 0 + -14 = -14 -3m = -14 Divide each side by '-3'. m = 4.666666667 Simplifying m = 4.666666667Solution
m = {-7, 4.666666667}
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