2k^2-k+3+5k+3k-7=

Solution for 2k^2-k+3+5k+3k-7= equation:

Simplifying
2k2 + -1k + 3 + 5k + 3k + -7 = 0

Reorder the terms:
3 + -7 + -1k + 5k + 3k + 2k2 = 0

Combine like terms: 3 + -7 = -4
-4 + -1k + 5k + 3k + 2k2 = 0

Combine like terms: -1k + 5k = 4k
-4 + 4k + 3k + 2k2 = 0

Combine like terms: 4k + 3k = 7k
-4 + 7k + 2k2 = 0

Solving
-4 + 7k + 2k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -1k)(1 + -2k) = 0

Subproblem 1
Set the factor '(-4 + -1k)' equal to zero and attempt to solve:

Simplifying
-4 + -1k = 0

Solving
-4 + -1k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1k = 0 + 4
-1k = 0 + 4

Combine like terms: 0 + 4 = 4
-1k = 4

Divide each side by '-1'.
k = -4

Simplifying
k = -4
Subproblem 2
Set the factor '(1 + -2k)' equal to zero and attempt to solve:

Simplifying
1 + -2k = 0

Solving
1 + -2k = 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 + -2k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2k = 0 + -1
-2k = 0 + -1

Combine like terms: 0 + -1 = -1
-2k = -1

Divide each side by '-2'.
k = 0.5

Simplifying
k = 0.5
Solution
k = {-4, 0.5}