5k^2-18k+16=0

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Solution for 5k^2-18k+16=0 equation: 


Simplifying
5k2 + -18k + 16 = 0

Reorder the terms:
16 + -18k + 5k2 = 0

Solving
16 + -18k + 5k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(8 + -5k)(2 + -1k) = 0


Subproblem 1
Set the factor '(8 + -5k)' equal to zero and attempt to solve:

Simplifying
8 + -5k = 0

Solving
8 + -5k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -5k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5k = 0 + -8
-5k = 0 + -8

Combine like terms: 0 + -8 = -8
-5k = -8

Divide each side by '-5'.
k = 1.6

Simplifying
k = 1.6

Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {1.6, 2}

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