2m(m)-11m-6=0

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Solution for 2m(m)-11m-6=0 equation:


Simplifying
2m(m) + -11m + -6 = 0

Multiply m * m
2m2 + -11m + -6 = 0

Reorder the terms:
-6 + -11m + 2m2 = 0

Solving
-6 + -11m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -2m)(6 + -1m) = 0

Subproblem 1

Set the factor '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5

Subproblem 2

Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 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 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6

Solution

m = {-0.5, 6}

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