35k^2-22k=-3

Solution for 35k^2-22k=-3 equation:

Simplifying
35k2 + -22k = -3

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

Solving
-22k + 35k2 = -3

Solving for variable 'k'.

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

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

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

Subproblem 1
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
Subproblem 2
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
Solution
k = {0.2, 0.4285714286}