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

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

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

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

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

Multiply (-3 + 5p) * (3 + 5p)
(-3(3 + 5p) + 5p * (3 + 5p)) = 0
((3 * -3 + 5p * -3) + 5p * (3 + 5p)) = 0
((-9 + -15p) + 5p * (3 + 5p)) = 0
(-9 + -15p + (3 * 5p + 5p * 5p)) = 0
(-9 + -15p + (15p + 25p2)) = 0

Combine like terms: -15p + 15p = 0
(-9 + 0 + 25p2) = 0
(-9 + 25p2) = 0

Solving
-9 + 25p2 = 0

Solving for variable 'p'.

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

Add '9' to each side of the equation.
-9 + 9 + 25p2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 25p2 = 0 + 9
25p2 = 0 + 9

Combine like terms: 0 + 9 = 9
25p2 = 9

Divide each side by '25'.
p2 = 0.36

Simplifying
p2 = 0.36

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