(5p-6)(5p+6)=

Solution for (5p-6)(5p+6)= equation:

Simplifying
(5p + -6)(5p + 6) = 0

Reorder the terms:
(-6 + 5p)(5p + 6) = 0

Reorder the terms:
(-6 + 5p)(6 + 5p) = 0

Multiply (-6 + 5p) * (6 + 5p)
(-6(6 + 5p) + 5p * (6 + 5p)) = 0
((6 * -6 + 5p * -6) + 5p * (6 + 5p)) = 0
((-36 + -30p) + 5p * (6 + 5p)) = 0
(-36 + -30p + (6 * 5p + 5p * 5p)) = 0
(-36 + -30p + (30p + 25p2)) = 0

Combine like terms: -30p + 30p = 0
(-36 + 0 + 25p2) = 0
(-36 + 25p2) = 0

Solving
-36 + 25p2 = 0

Solving for variable 'p'.

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

Add '36' to each side of the equation.
-36 + 36 + 25p2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25p2 = 0 + 36
25p2 = 0 + 36

Combine like terms: 0 + 36 = 36
25p2 = 36

Divide each side by '25'.
p2 = 1.44

Simplifying
p2 = 1.44

Take the square root of each side:
p = {-1.2, 1.2}