4(5p-3)(5p+3)=

Solution for 4(5p-3)(5p+3)= equation:

Simplifying
4(5p + -3)(5p + 3) = 0

Reorder the terms:
4(-3 + 5p)(5p + 3) = 0

Reorder the terms:
4(-3 + 5p)(3 + 5p) = 0

Multiply (-3 + 5p) * (3 + 5p)
4(-3(3 + 5p) + 5p * (3 + 5p)) = 0
4((3 * -3 + 5p * -3) + 5p * (3 + 5p)) = 0
4((-9 + -15p) + 5p * (3 + 5p)) = 0
4(-9 + -15p + (3 * 5p + 5p * 5p)) = 0
4(-9 + -15p + (15p + 25p2)) = 0

Combine like terms: -15p + 15p = 0
4(-9 + 0 + 25p2) = 0
4(-9 + 25p2) = 0
(-9 * 4 + 25p2 * 4) = 0
(-36 + 100p2) = 0

Solving
-36 + 100p2 = 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 + 100p2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 100p2 = 0 + 36
100p2 = 0 + 36

Combine like terms: 0 + 36 = 36
100p2 = 36

Divide each side by '100'.
p2 = 0.36

Simplifying
p2 = 0.36

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