(7a+3b)(7a-3b)=

Solution for (7a+3b)(7a-3b)= equation:

Simplifying
(7a + 3b)(7a + -3b) = 0

Multiply (7a + 3b) * (7a + -3b)
(7a * (7a + -3b) + 3b * (7a + -3b)) = 0
((7a * 7a + -3b * 7a) + 3b * (7a + -3b)) = 0

Reorder the terms:
((-21ab + 49a2) + 3b * (7a + -3b)) = 0
((-21ab + 49a2) + 3b * (7a + -3b)) = 0
(-21ab + 49a2 + (7a * 3b + -3b * 3b)) = 0
(-21ab + 49a2 + (21ab + -9b2)) = 0

Reorder the terms:
(-21ab + 21ab + 49a2 + -9b2) = 0

Combine like terms: -21ab + 21ab = 0
(0 + 49a2 + -9b2) = 0
(49a2 + -9b2) = 0

Solving
49a2 + -9b2 = 0

Solving for variable 'a'.

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

Add '9b2' to each side of the equation.
49a2 + -9b2 + 9b2 = 0 + 9b2

Combine like terms: -9b2 + 9b2 = 0
49a2 + 0 = 0 + 9b2
49a2 = 0 + 9b2
Remove the zero:
49a2 = 9b2

Divide each side by '49'.
a2 = 0.1836734694b2

Simplifying
a2 = 0.1836734694b2

Take the square root of each side:
a = {-0.428571429b, 0.428571429b}