(2s-7)(2s+7)=

Solution for (2s-7)(2s+7)= equation:

Simplifying
(2s + -7)(2s + 7) = 0

Reorder the terms:
(-7 + 2s)(2s + 7) = 0

Reorder the terms:
(-7 + 2s)(7 + 2s) = 0

Multiply (-7 + 2s) * (7 + 2s)
(-7(7 + 2s) + 2s * (7 + 2s)) = 0
((7 * -7 + 2s * -7) + 2s * (7 + 2s)) = 0
((-49 + -14s) + 2s * (7 + 2s)) = 0
(-49 + -14s + (7 * 2s + 2s * 2s)) = 0
(-49 + -14s + (14s + 4s2)) = 0

Combine like terms: -14s + 14s = 0
(-49 + 0 + 4s2) = 0
(-49 + 4s2) = 0

Solving
-49 + 4s2 = 0

Solving for variable 's'.

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

Add '49' to each side of the equation.
-49 + 49 + 4s2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4s2 = 0 + 49
4s2 = 0 + 49

Combine like terms: 0 + 49 = 49
4s2 = 49

Divide each side by '4'.
s2 = 12.25

Simplifying
s2 = 12.25

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