(5p-10)(5p+10)=0

Solution for (5p-10)(5p+10)=0 equation:

Simplifying
(5p + -10)(5p + 10) = 0

Reorder the terms:
(-10 + 5p)(5p + 10) = 0

Reorder the terms:
(-10 + 5p)(10 + 5p) = 0

Multiply (-10 + 5p) * (10 + 5p)
(-10(10 + 5p) + 5p * (10 + 5p)) = 0
((10 * -10 + 5p * -10) + 5p * (10 + 5p)) = 0
((-100 + -50p) + 5p * (10 + 5p)) = 0
(-100 + -50p + (10 * 5p + 5p * 5p)) = 0
(-100 + -50p + (50p + 25p2)) = 0

Combine like terms: -50p + 50p = 0
(-100 + 0 + 25p2) = 0
(-100 + 25p2) = 0

Solving
-100 + 25p2 = 0

Solving for variable 'p'.

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

Add '100' to each side of the equation.
-100 + 100 + 25p2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 25p2 = 0 + 100
25p2 = 0 + 100

Combine like terms: 0 + 100 = 100
25p2 = 100

Divide each side by '25'.
p2 = 4

Simplifying
p2 = 4

Take the square root of each side:
p = {-2, 2}