(9p-7q)(9p+7q)=

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Solution for (9p-7q)(9p+7q)= equation: 


Simplifying
(9p + -7q)(9p + 7q) = 0

Multiply (9p + -7q) * (9p + 7q)
(9p * (9p + 7q) + -7q * (9p + 7q)) = 0
((9p * 9p + 7q * 9p) + -7q * (9p + 7q)) = 0

Reorder the terms:
((63pq + 81p2) + -7q * (9p + 7q)) = 0
((63pq + 81p2) + -7q * (9p + 7q)) = 0
(63pq + 81p2 + (9p * -7q + 7q * -7q)) = 0
(63pq + 81p2 + (-63pq + -49q2)) = 0

Reorder the terms:
(63pq + -63pq + 81p2 + -49q2) = 0

Combine like terms: 63pq + -63pq = 0
(0 + 81p2 + -49q2) = 0
(81p2 + -49q2) = 0

Solving
81p2 + -49q2 = 0

Solving for variable 'p'.

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

Add '49q2' to each side of the equation.
81p2 + -49q2 + 49q2 = 0 + 49q2

Combine like terms: -49q2 + 49q2 = 0
81p2 + 0 = 0 + 49q2
81p2 = 0 + 49q2
Remove the zero:
81p2 = 49q2

Divide each side by '81'.
p2 = 0.6049382716q2

Simplifying
p2 = 0.6049382716q2

Take the square root of each side:
p = {-0.777777778q, 0.777777778q}

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