9k^2-53-6=0

Solution for 9k^2-53-6=0 equation:

Simplifying
9k2 + -53 + -6 = 0

Reorder the terms:
-53 + -6 + 9k2 = 0

Combine like terms: -53 + -6 = -59
-59 + 9k2 = 0

Solving
-59 + 9k2 = 0

Solving for variable 'k'.

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

Add '59' to each side of the equation.
-59 + 59 + 9k2 = 0 + 59

Combine like terms: -59 + 59 = 0
0 + 9k2 = 0 + 59
9k2 = 0 + 59

Combine like terms: 0 + 59 = 59
9k2 = 59

Divide each side by '9'.
k2 = 6.555555556

Simplifying
k2 = 6.555555556

Take the square root of each side:
k = {-2.560381916, 2.560381916}