m^2-18m+56=0

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Solution for m^2-18m+56=0 equation:


Simplifying
m2 + -18m + 56 = 0

Reorder the terms:
56 + -18m + m2 = 0

Solving
56 + -18m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + -1m)(14 + -1m) = 0

Subproblem 1

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Subproblem 2

Set the factor '(14 + -1m)' equal to zero and attempt to solve: Simplifying 14 + -1m = 0 Solving 14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1m = 0 + -14 -1m = 0 + -14 Combine like terms: 0 + -14 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14

Solution

m = {4, 14}

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