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

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

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

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

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

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

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

Solving
-9 + 25z2 = 0

Solving for variable 'z'.

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

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

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

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

Divide each side by '25'.
z2 = 0.36

Simplifying
z2 = 0.36

Take the square root of each side:
z = {-0.6, 0.6}