(7p+5q)(7p-5q)=0

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Solution for (7p+5q)(7p-5q)=0 equation:


Simplifying
(7p + 5q)(7p + -5q) = 0

Multiply (7p + 5q) * (7p + -5q)
(7p * (7p + -5q) + 5q * (7p + -5q)) = 0
((7p * 7p + -5q * 7p) + 5q * (7p + -5q)) = 0

Reorder the terms:
((-35pq + 49p2) + 5q * (7p + -5q)) = 0
((-35pq + 49p2) + 5q * (7p + -5q)) = 0
(-35pq + 49p2 + (7p * 5q + -5q * 5q)) = 0
(-35pq + 49p2 + (35pq + -25q2)) = 0

Reorder the terms:
(-35pq + 35pq + 49p2 + -25q2) = 0

Combine like terms: -35pq + 35pq = 0
(0 + 49p2 + -25q2) = 0
(49p2 + -25q2) = 0

Solving
49p2 + -25q2 = 0

Solving for variable 'p'.

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

Add '25q2' to each side of the equation.
49p2 + -25q2 + 25q2 = 0 + 25q2

Combine like terms: -25q2 + 25q2 = 0
49p2 + 0 = 0 + 25q2
49p2 = 0 + 25q2
Remove the zero:
49p2 = 25q2

Divide each side by '49'.
p2 = 0.5102040816q2

Simplifying
p2 = 0.5102040816q2

Take the square root of each side:
p = {-0.714285714q, 0.714285714q}

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