2m^2+14=11(m)

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Solution for 2m^2+14=11(m) equation:


Simplifying
2m2 + 14 = 11(m)

Reorder the terms:
14 + 2m2 = 11(m)

Solving
14 + 2m2 = 11m

Solving for variable 'm'.

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

Combine like terms: 11m + -11m = 0
14 + -11m + 2m2 = 0

Factor a trinomial.
(2 + -1m)(7 + -2m) = 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 '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 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 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5

Solution

m = {2, 3.5}

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