5(k-3)(k+3)=0

Solution for 5(k-3)(k+3)=0 equation:

Simplifying
5(k + -3)(k + 3) = 0

Reorder the terms:
5(-3 + k)(k + 3) = 0

Reorder the terms:
5(-3 + k)(3 + k) = 0

Multiply (-3 + k) * (3 + k)
5(-3(3 + k) + k(3 + k)) = 0
5((3 * -3 + k * -3) + k(3 + k)) = 0
5((-9 + -3k) + k(3 + k)) = 0
5(-9 + -3k + (3 * k + k * k)) = 0
5(-9 + -3k + (3k + k2)) = 0

Combine like terms: -3k + 3k = 0
5(-9 + 0 + k2) = 0
5(-9 + k2) = 0
(-9 * 5 + k2 * 5) = 0
(-45 + 5k2) = 0

Solving
-45 + 5k2 = 0

Solving for variable 'k'.

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

Add '45' to each side of the equation.
-45 + 45 + 5k2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 5k2 = 0 + 45
5k2 = 0 + 45

Combine like terms: 0 + 45 = 45
5k2 = 45

Divide each side by '5'.
k2 = 9

Simplifying
k2 = 9

Take the square root of each side:
k = {-3, 3}