2(3k-4)(3k+4)=

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

Simplifying
2(3k + -4)(3k + 4) = 0

Reorder the terms:
2(-4 + 3k)(3k + 4) = 0

Reorder the terms:
2(-4 + 3k)(4 + 3k) = 0

Multiply (-4 + 3k) * (4 + 3k)
2(-4(4 + 3k) + 3k * (4 + 3k)) = 0
2((4 * -4 + 3k * -4) + 3k * (4 + 3k)) = 0
2((-16 + -12k) + 3k * (4 + 3k)) = 0
2(-16 + -12k + (4 * 3k + 3k * 3k)) = 0
2(-16 + -12k + (12k + 9k2)) = 0

Combine like terms: -12k + 12k = 0
2(-16 + 0 + 9k2) = 0
2(-16 + 9k2) = 0
(-16 * 2 + 9k2 * 2) = 0
(-32 + 18k2) = 0

Solving
-32 + 18k2 = 0

Solving for variable 'k'.

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

Add '32' to each side of the equation.
-32 + 32 + 18k2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 18k2 = 0 + 32
18k2 = 0 + 32

Combine like terms: 0 + 32 = 32
18k2 = 32

Divide each side by '18'.
k2 = 1.777777778

Simplifying
k2 = 1.777777778

Take the square root of each side:
k = {-1.333333333, 1.333333333}