11m^2+14m-16=0

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Solution for 11m^2+14m-16=0 equation:


Simplifying
11m2 + 14m + -16 = 0

Reorder the terms:
-16 + 14m + 11m2 = 0

Solving
-16 + 14m + 11m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2 + -1m)(8 + -11m) = 0

Subproblem 1

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 = -2

Subproblem 2

Set the factor '(8 + -11m)' equal to zero and attempt to solve: Simplifying 8 + -11m = 0 Solving 8 + -11m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11m = 0 + -8 -11m = 0 + -8 Combine like terms: 0 + -8 = -8 -11m = -8 Divide each side by '-11'. m = 0.7272727273 Simplifying m = 0.7272727273

Solution

m = {-2, 0.7272727273}

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