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

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

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

Multiply (5b + 3p) * (5b + -3p)
(5b * (5b + -3p) + 3p * (5b + -3p)) = 0
((5b * 5b + -3p * 5b) + 3p * (5b + -3p)) = 0

Reorder the terms:
((-15bp + 25b2) + 3p * (5b + -3p)) = 0
((-15bp + 25b2) + 3p * (5b + -3p)) = 0
(-15bp + 25b2 + (5b * 3p + -3p * 3p)) = 0
(-15bp + 25b2 + (15bp + -9p2)) = 0

Reorder the terms:
(-15bp + 15bp + 25b2 + -9p2) = 0

Combine like terms: -15bp + 15bp = 0
(0 + 25b2 + -9p2) = 0
(25b2 + -9p2) = 0

Solving
25b2 + -9p2 = 0

Solving for variable 'b'.

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

Add '9p2' to each side of the equation.
25b2 + -9p2 + 9p2 = 0 + 9p2

Combine like terms: -9p2 + 9p2 = 0
25b2 + 0 = 0 + 9p2
25b2 = 0 + 9p2
Remove the zero:
25b2 = 9p2

Divide each side by '25'.
b2 = 0.36p2

Simplifying
b2 = 0.36p2

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