14m^2-11m+2=0

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


Simplifying
14m2 + -11m + 2 = 0

Reorder the terms:
2 + -11m + 14m2 = 0

Solving
2 + -11m + 14m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -7m)(1 + -2m) = 0

Subproblem 1

Set the factor '(2 + -7m)' equal to zero and attempt to solve: Simplifying 2 + -7m = 0 Solving 2 + -7m = 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 + -7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7m = 0 + -2 -7m = 0 + -2 Combine like terms: 0 + -2 = -2 -7m = -2 Divide each side by '-7'. m = 0.2857142857 Simplifying m = 0.2857142857

Subproblem 2

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

Solution

m = {0.2857142857, 0.5}

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