6k^2-3(4-k^2)=

Solution for 6k^2-3(4-k^2)= equation:

Simplifying
6k2 + -3(4 + -1k2) = 0
6k2 + (4 * -3 + -1k2 * -3) = 0
6k2 + (-12 + 3k2) = 0

Reorder the terms:
-12 + 6k2 + 3k2 = 0

Combine like terms: 6k2 + 3k2 = 9k2
-12 + 9k2 = 0

Solving
-12 + 9k2 = 0

Solving for variable 'k'.

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

Add '12' to each side of the equation.
-12 + 12 + 9k2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 9k2 = 0 + 12
9k2 = 0 + 12

Combine like terms: 0 + 12 = 12
9k2 = 12

Divide each side by '9'.
k2 = 1.333333333

Simplifying
k2 = 1.333333333

Take the square root of each side:
k = {-1.154700538, 1.154700538}