(2b+14)(2b-14)=0

Solution for (2b+14)(2b-14)=0 equation:

Simplifying
(2b + 14)(2b + -14) = 0

Reorder the terms:
(14 + 2b)(2b + -14) = 0

Reorder the terms:
(14 + 2b)(-14 + 2b) = 0

Multiply (14 + 2b) * (-14 + 2b)
(14(-14 + 2b) + 2b * (-14 + 2b)) = 0
((-14 * 14 + 2b * 14) + 2b * (-14 + 2b)) = 0
((-196 + 28b) + 2b * (-14 + 2b)) = 0
(-196 + 28b + (-14 * 2b + 2b * 2b)) = 0
(-196 + 28b + (-28b + 4b2)) = 0

Combine like terms: 28b + -28b = 0
(-196 + 0 + 4b2) = 0
(-196 + 4b2) = 0

Solving
-196 + 4b2 = 0

Solving for variable 'b'.

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

Add '196' to each side of the equation.
-196 + 196 + 4b2 = 0 + 196

Combine like terms: -196 + 196 = 0
0 + 4b2 = 0 + 196
4b2 = 0 + 196

Combine like terms: 0 + 196 = 196
4b2 = 196

Divide each side by '4'.
b2 = 49

Simplifying
b2 = 49

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