=035k^2-22k+3

Solution for =035k^2-22k+3 equation:

Simplifying
0 = 35k2 + -22k + 3

Reorder the terms:
0 = 3 + -22k + 35k2

Solving
0 = 3 + -22k + 35k2

Solving for variable 'k'.

Combine like terms: 0 + -3 = -3
-3 + 22k + -35k2 = 3 + -22k + 35k2 + -3 + 22k + -35k2

Reorder the terms:
-3 + 22k + -35k2 = 3 + -3 + -22k + 22k + 35k2 + -35k2

Combine like terms: 3 + -3 = 0
-3 + 22k + -35k2 = 0 + -22k + 22k + 35k2 + -35k2
-3 + 22k + -35k2 = -22k + 22k + 35k2 + -35k2

Combine like terms: -22k + 22k = 0
-3 + 22k + -35k2 = 0 + 35k2 + -35k2
-3 + 22k + -35k2 = 35k2 + -35k2

Combine like terms: 35k2 + -35k2 = 0
-3 + 22k + -35k2 = 0

Factor a trinomial.
(-3 + 7k)(1 + -5k) = 0

Subproblem 1
Set the factor '(-3 + 7k)' equal to zero and attempt to solve:

Simplifying
-3 + 7k = 0

Solving
-3 + 7k = 0

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

Add '3' to each side of the equation.
-3 + 3 + 7k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7k = 0 + 3
7k = 0 + 3

Combine like terms: 0 + 3 = 3
7k = 3

Divide each side by '7'.
k = 0.4285714286

Simplifying
k = 0.4285714286
Subproblem 2
Set the factor '(1 + -5k)' equal to zero and attempt to solve:

Simplifying
1 + -5k = 0

Solving
1 + -5k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5k = 0 + -1
-5k = 0 + -1

Combine like terms: 0 + -1 = -1
-5k = -1

Divide each side by '-5'.
k = 0.2

Simplifying
k = 0.2
Solution
k = {0.4285714286, 0.2}