-46k^2+43k+3=0

Solution for -46k^2+43k+3=0 equation:

Simplifying
-46k2 + 43k + 3 = 0

Reorder the terms:
3 + 43k + -46k2 = 0

Solving
3 + 43k + -46k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -1k)(3 + 46k) = 0

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 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 + -1k = 0 + -1

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

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

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

Simplifying
k = 1
Subproblem 2
Set the factor '(3 + 46k)' equal to zero and attempt to solve:

Simplifying
3 + 46k = 0

Solving
3 + 46k = 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 + 46k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 46k = 0 + -3
46k = 0 + -3

Combine like terms: 0 + -3 = -3
46k = -3

Divide each side by '46'.
k = -0.0652173913

Simplifying
k = -0.0652173913
Solution
k = {1, -0.0652173913}