6m^2-m-35=0

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Solution for 6m^2-m-35=0 equation:


Simplifying
6m2 + -1m + -35 = 0

Reorder the terms:
-35 + -1m + 6m2 = 0

Solving
-35 + -1m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -3m)(5 + -2m) = 0

Subproblem 1

Set the factor '(-7 + -3m)' equal to zero and attempt to solve: Simplifying -7 + -3m = 0 Solving -7 + -3m = 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 + -3m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3m = 0 + 7 -3m = 0 + 7 Combine like terms: 0 + 7 = 7 -3m = 7 Divide each side by '-3'. m = -2.333333333 Simplifying m = -2.333333333

Subproblem 2

Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5

Solution

m = {-2.333333333, 2.5}

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