(7p+3q)*(7p-3q)=

Solution for (7p+3q)*(7p-3q)= equation:

Simplifying
(7p + 3q)(7p + -3q) = 0

Multiply (7p + 3q) * (7p + -3q)
(7p * (7p + -3q) + 3q * (7p + -3q)) = 0
((7p * 7p + -3q * 7p) + 3q * (7p + -3q)) = 0

Reorder the terms:
((-21pq + 49p2) + 3q * (7p + -3q)) = 0
((-21pq + 49p2) + 3q * (7p + -3q)) = 0
(-21pq + 49p2 + (7p * 3q + -3q * 3q)) = 0
(-21pq + 49p2 + (21pq + -9q2)) = 0

Reorder the terms:
(-21pq + 21pq + 49p2 + -9q2) = 0

Combine like terms: -21pq + 21pq = 0
(0 + 49p2 + -9q2) = 0
(49p2 + -9q2) = 0

Solving
49p2 + -9q2 = 0

Solving for variable 'p'.

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

Add '9q2' to each side of the equation.
49p2 + -9q2 + 9q2 = 0 + 9q2

Combine like terms: -9q2 + 9q2 = 0
49p2 + 0 = 0 + 9q2
49p2 = 0 + 9q2
Remove the zero:
49p2 = 9q2

Divide each side by '49'.
p2 = 0.1836734694q2

Simplifying
p2 = 0.1836734694q2

Take the square root of each side:
p = {-0.428571429q, 0.428571429q}