x^2+5k-6=0

Solution for x^2+5k-6=0 equation:

Simplifying
x2 + 5k + -6 = 0

Reorder the terms:
-6 + 5k + x2 = 0

Solving
-6 + 5k + x2 = 0

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + 5k + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + 5k + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5k + x2 = 0 + 6
5k + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
5k + x2 = 6

Add '-1x2' to each side of the equation.
5k + x2 + -1x2 = 6 + -1x2

Combine like terms: x2 + -1x2 = 0
5k + 0 = 6 + -1x2
5k = 6 + -1x2

Divide each side by '5'.
k = 1.2 + -0.2x2

Simplifying
k = 1.2 + -0.2x2