2k^2=-5k-3

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

Simplifying
2k2 = -5k + -3

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

Solving
2k2 = -3 + -5k

Solving for variable 'k'.

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

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

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

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

Factor a trinomial.
(3 + 2k)(1 + k) = 0

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

Simplifying
3 + 2k = 0

Solving
3 + 2k = 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 + 2k = 0 + -3

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

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

Divide each side by '2'.
k = -1.5

Simplifying
k = -1.5
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

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

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

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

Simplifying
k = -1
Solution
k = {-1.5, -1}