(2a+7b)(2a-7b)=

Solution for (2a+7b)(2a-7b)= equation:

Simplifying
(2a + 7b)(2a + -7b) = 0

Multiply (2a + 7b) * (2a + -7b)
(2a * (2a + -7b) + 7b * (2a + -7b)) = 0
((2a * 2a + -7b * 2a) + 7b * (2a + -7b)) = 0

Reorder the terms:
((-14ab + 4a2) + 7b * (2a + -7b)) = 0
((-14ab + 4a2) + 7b * (2a + -7b)) = 0
(-14ab + 4a2 + (2a * 7b + -7b * 7b)) = 0
(-14ab + 4a2 + (14ab + -49b2)) = 0

Reorder the terms:
(-14ab + 14ab + 4a2 + -49b2) = 0

Combine like terms: -14ab + 14ab = 0
(0 + 4a2 + -49b2) = 0
(4a2 + -49b2) = 0

Solving
4a2 + -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.
4a2 + -49b2 + 49b2 = 0 + 49b2

Combine like terms: -49b2 + 49b2 = 0
4a2 + 0 = 0 + 49b2
4a2 = 0 + 49b2
Remove the zero:
4a2 = 49b2

Divide each side by '4'.
a2 = 12.25b2

Simplifying
a2 = 12.25b2

Take the square root of each side:
a = {-3.5b, 3.5b}