5k^2-3=2k

Solution for 5k^2-3=2k equation:

Simplifying
5k2 + -3 = 2k

Reorder the terms:
-3 + 5k2 = 2k

Solving
-3 + 5k2 = 2k

Solving for variable 'k'.

Reorder the terms:
-3 + -2k + 5k2 = 2k + -2k

Combine like terms: 2k + -2k = 0
-3 + -2k + 5k2 = 0

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

Subproblem 1
Set the factor '(-3 + -5k)' equal to zero and attempt to solve:

Simplifying
-3 + -5k = 0

Solving
-3 + -5k = 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 + -5k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5k = 0 + 3
-5k = 0 + 3

Combine like terms: 0 + 3 = 3
-5k = 3

Divide each side by '-5'.
k = -0.6

Simplifying
k = -0.6
Subproblem 2
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
Solution
k = {-0.6, 1}