(13a+7b)(13a-7b)=

Solution for (13a+7b)(13a-7b)= equation:

Simplifying
(13a + 7b)(13a + -7b) = 0

Multiply (13a + 7b) * (13a + -7b)
(13a * (13a + -7b) + 7b * (13a + -7b)) = 0
((13a * 13a + -7b * 13a) + 7b * (13a + -7b)) = 0

Reorder the terms:
((-91ab + 169a2) + 7b * (13a + -7b)) = 0
((-91ab + 169a2) + 7b * (13a + -7b)) = 0
(-91ab + 169a2 + (13a * 7b + -7b * 7b)) = 0
(-91ab + 169a2 + (91ab + -49b2)) = 0

Reorder the terms:
(-91ab + 91ab + 169a2 + -49b2) = 0

Combine like terms: -91ab + 91ab = 0
(0 + 169a2 + -49b2) = 0
(169a2 + -49b2) = 0

Solving
169a2 + -49b2 = 0

Solving for variable 'a'.

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

Add '49b2' to each side of the equation.
169a2 + -49b2 + 49b2 = 0 + 49b2

Combine like terms: -49b2 + 49b2 = 0
169a2 + 0 = 0 + 49b2
169a2 = 0 + 49b2
Remove the zero:
169a2 = 49b2

Divide each side by '169'.
a2 = 0.2899408284b2

Simplifying
a2 = 0.2899408284b2

Take the square root of each side:
a = {-0.538461538b, 0.538461538b}