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

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

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

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

Reorder the terms:
((15mnp + 25m2n2) + -3p * (5mn + 3p)) = 0
((15mnp + 25m2n2) + -3p * (5mn + 3p)) = 0
(15mnp + 25m2n2 + (5mn * -3p + 3p * -3p)) = 0
(15mnp + 25m2n2 + (-15mnp + -9p2)) = 0

Reorder the terms:
(15mnp + -15mnp + 25m2n2 + -9p2) = 0

Combine like terms: 15mnp + -15mnp = 0
(0 + 25m2n2 + -9p2) = 0
(25m2n2 + -9p2) = 0

Solving
25m2n2 + -9p2 = 0

Solving for variable 'm'.

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

Add '9p2' to each side of the equation.
25m2n2 + -9p2 + 9p2 = 0 + 9p2

Combine like terms: -9p2 + 9p2 = 0
25m2n2 + 0 = 0 + 9p2
25m2n2 = 0 + 9p2
Remove the zero:
25m2n2 = 9p2

Divide each side by '25n2'.
m2 = 0.36n-2p2

Simplifying
m2 = 0.36n-2p2

Take the square root of each side:
m = {-0.6n-1p, 0.6n-1p}