3(1-5k^2)=2(1-6k^2)

Solution for 3(1-5k^2)=2(1-6k^2) equation:

Simplifying
3(1 + -5k2) = 2(1 + -6k2)
(1 * 3 + -5k2 * 3) = 2(1 + -6k2)
(3 + -15k2) = 2(1 + -6k2)
3 + -15k2 = (1 * 2 + -6k2 * 2)
3 + -15k2 = (2 + -12k2)

Solving
3 + -15k2 = 2 + -12k2

Solving for variable 'k'.

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

Add '12k2' to each side of the equation.
3 + -15k2 + 12k2 = 2 + -12k2 + 12k2

Combine like terms: -15k2 + 12k2 = -3k2
3 + -3k2 = 2 + -12k2 + 12k2

Combine like terms: -12k2 + 12k2 = 0
3 + -3k2 = 2 + 0
3 + -3k2 = 2

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

Combine like terms: 3 + -3 = 0
0 + -3k2 = 2 + -3
-3k2 = 2 + -3

Combine like terms: 2 + -3 = -1
-3k2 = -1

Divide each side by '-3'.
k2 = 0.3333333333

Simplifying
k2 = 0.3333333333

Take the square root of each side:
k = {-0.577350269, 0.577350269}