k^2-31-2k=-6-3k^2-2k

Solution for k^2-31-2k=-6-3k^2-2k equation:

Simplifying
k2 + -31 + -2k = -6 + -3k2 + -2k

Reorder the terms:
-31 + -2k + k2 = -6 + -3k2 + -2k

Reorder the terms:
-31 + -2k + k2 = -6 + -2k + -3k2

Add '2k' to each side of the equation.
-31 + -2k + 2k + k2 = -6 + -2k + 2k + -3k2

Combine like terms: -2k + 2k = 0
-31 + 0 + k2 = -6 + -2k + 2k + -3k2
-31 + k2 = -6 + -2k + 2k + -3k2

Combine like terms: -2k + 2k = 0
-31 + k2 = -6 + 0 + -3k2
-31 + k2 = -6 + -3k2

Solving
-31 + k2 = -6 + -3k2

Solving for variable 'k'.

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

Add '3k2' to each side of the equation.
-31 + k2 + 3k2 = -6 + -3k2 + 3k2

Combine like terms: k2 + 3k2 = 4k2
-31 + 4k2 = -6 + -3k2 + 3k2

Combine like terms: -3k2 + 3k2 = 0
-31 + 4k2 = -6 + 0
-31 + 4k2 = -6

Add '31' to each side of the equation.
-31 + 31 + 4k2 = -6 + 31

Combine like terms: -31 + 31 = 0
0 + 4k2 = -6 + 31
4k2 = -6 + 31

Combine like terms: -6 + 31 = 25
4k2 = 25

Divide each side by '4'.
k2 = 6.25

Simplifying
k2 = 6.25

Take the square root of each side:
k = {-2.5, 2.5}