(3z+5)(3z-5)=

Solution for (3z+5)(3z-5)= equation:

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

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

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

Multiply (5 + 3z) * (-5 + 3z)
(5(-5 + 3z) + 3z * (-5 + 3z)) = 0
((-5 * 5 + 3z * 5) + 3z * (-5 + 3z)) = 0
((-25 + 15z) + 3z * (-5 + 3z)) = 0
(-25 + 15z + (-5 * 3z + 3z * 3z)) = 0
(-25 + 15z + (-15z + 9z2)) = 0

Combine like terms: 15z + -15z = 0
(-25 + 0 + 9z2) = 0
(-25 + 9z2) = 0

Solving
-25 + 9z2 = 0

Solving for variable 'z'.

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

Add '25' to each side of the equation.
-25 + 25 + 9z2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 9z2 = 0 + 25
9z2 = 0 + 25

Combine like terms: 0 + 25 = 25
9z2 = 25

Divide each side by '9'.
z2 = 2.777777778

Simplifying
z2 = 2.777777778

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