(ab+7)(ab-7)=

Solution for (ab+7)(ab-7)= equation:

Simplifying
(ab + 7)(ab + -7) = 0

Reorder the terms:
(7 + ab)(ab + -7) = 0

Reorder the terms:
(7 + ab)(-7 + ab) = 0

Multiply (7 + ab) * (-7 + ab)
(7(-7 + ab) + ab(-7 + ab)) = 0
((-7 * 7 + ab * 7) + ab(-7 + ab)) = 0
((-49 + 7ab) + ab(-7 + ab)) = 0
(-49 + 7ab + (-7 * ab + ab * ab)) = 0
(-49 + 7ab + (-7ab + a2b2)) = 0

Combine like terms: 7ab + -7ab = 0
(-49 + 0 + a2b2) = 0
(-49 + a2b2) = 0

Solving
-49 + a2b2 = 0

Solving for variable 'a'.

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

Add '49' to each side of the equation.
-49 + 49 + a2b2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + a2b2 = 0 + 49
a2b2 = 0 + 49

Combine like terms: 0 + 49 = 49
a2b2 = 49

Divide each side by 'b2'.
a2 = 49b-2

Simplifying
a2 = 49b-2

Take the square root of each side:
a = {-7b-1, 7b-1}