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

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

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

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

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

Multiply (-5 + 3k) * (5 + 3k)
(-5(5 + 3k) + 3k * (5 + 3k)) = 0
((5 * -5 + 3k * -5) + 3k * (5 + 3k)) = 0
((-25 + -15k) + 3k * (5 + 3k)) = 0
(-25 + -15k + (5 * 3k + 3k * 3k)) = 0
(-25 + -15k + (15k + 9k2)) = 0

Combine like terms: -15k + 15k = 0
(-25 + 0 + 9k2) = 0
(-25 + 9k2) = 0

Solving
-25 + 9k2 = 0

Solving for variable 'k'.

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

Add '25' to each side of the equation.
-25 + 25 + 9k2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 9k2 = 0 + 25
9k2 = 0 + 25

Combine like terms: 0 + 25 = 25
9k2 = 25

Divide each side by '9'.
k2 = 2.777777778

Simplifying
k2 = 2.777777778

Take the square root of each side:
k = {-1.666666667, 1.666666667}