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

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

Simplifying
x2 + -31 + -2k = -6 + -3x2 + -2k

Reorder the terms:
-31 + -2k + x2 = -6 + -3x2 + -2k

Reorder the terms:
-31 + -2k + x2 = -6 + -2k + -3x2

Add '2k' to each side of the equation.
-31 + -2k + 2k + x2 = -6 + -2k + 2k + -3x2

Combine like terms: -2k + 2k = 0
-31 + 0 + x2 = -6 + -2k + 2k + -3x2
-31 + x2 = -6 + -2k + 2k + -3x2

Combine like terms: -2k + 2k = 0
-31 + x2 = -6 + 0 + -3x2
-31 + x2 = -6 + -3x2

Solving
-31 + x2 = -6 + -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
-31 + x2 + 3x2 = -6 + -3x2 + 3x2

Combine like terms: x2 + 3x2 = 4x2
-31 + 4x2 = -6 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-31 + 4x2 = -6 + 0
-31 + 4x2 = -6

Add '31' to each side of the equation.
-31 + 31 + 4x2 = -6 + 31

Combine like terms: -31 + 31 = 0
0 + 4x2 = -6 + 31
4x2 = -6 + 31

Combine like terms: -6 + 31 = 25
4x2 = 25

Divide each side by '4'.
x2 = 6.25

Simplifying
x2 = 6.25

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