(5a+7b)(5a-7b)=

Solution for (5a+7b)(5a-7b)= equation:

Simplifying
(5a + 7b)(5a + -7b) = 0

Multiply (5a + 7b) * (5a + -7b)
(5a * (5a + -7b) + 7b * (5a + -7b)) = 0
((5a * 5a + -7b * 5a) + 7b * (5a + -7b)) = 0

Reorder the terms:
((-35ab + 25a2) + 7b * (5a + -7b)) = 0
((-35ab + 25a2) + 7b * (5a + -7b)) = 0
(-35ab + 25a2 + (5a * 7b + -7b * 7b)) = 0
(-35ab + 25a2 + (35ab + -49b2)) = 0

Reorder the terms:
(-35ab + 35ab + 25a2 + -49b2) = 0

Combine like terms: -35ab + 35ab = 0
(0 + 25a2 + -49b2) = 0
(25a2 + -49b2) = 0

Solving
25a2 + -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.
25a2 + -49b2 + 49b2 = 0 + 49b2

Combine like terms: -49b2 + 49b2 = 0
25a2 + 0 = 0 + 49b2
25a2 = 0 + 49b2
Remove the zero:
25a2 = 49b2

Divide each side by '25'.
a2 = 1.96b2

Simplifying
a2 = 1.96b2

Take the square root of each side:
a = {-1.4b, 1.4b}