5m^2-22m+17=0

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Solution for 5m^2-22m+17=0 equation:


Simplifying
5m2 + -22m + 17 = 0

Reorder the terms:
17 + -22m + 5m2 = 0

Solving
17 + -22m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(17 + -5m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(17 + -5m)' equal to zero and attempt to solve: Simplifying 17 + -5m = 0 Solving 17 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5m = 0 + -17 -5m = 0 + -17 Combine like terms: 0 + -17 = -17 -5m = -17 Divide each side by '-5'. m = 3.4 Simplifying m = 3.4

Solution

m = {1, 3.4}

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