(s+4)(s+4)=(s)(s)+80

Solution for (s+4)(s+4)=(s)(s)+80 equation:

Simplifying
(s + 4)(s + 4) = (s)(s) + 80

Reorder the terms:
(4 + s)(s + 4) = (s)(s) + 80

Reorder the terms:
(4 + s)(4 + s) = (s)(s) + 80

Multiply (4 + s) * (4 + s)
(4(4 + s) + s(4 + s)) = (s)(s) + 80
((4 * 4 + s * 4) + s(4 + s)) = (s)(s) + 80
((16 + 4s) + s(4 + s)) = (s)(s) + 80
(16 + 4s + (4 * s + s * s)) = (s)(s) + 80
(16 + 4s + (4s + s2)) = (s)(s) + 80

Combine like terms: 4s + 4s = 8s
(16 + 8s + s2) = (s)(s) + 80

Multiply s * s
16 + 8s + s2 = s2 + 80

Reorder the terms:
16 + 8s + s2 = 80 + s2

Add '-1s2' to each side of the equation.
16 + 8s + s2 + -1s2 = 80 + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
16 + 8s + 0 = 80 + s2 + -1s2
16 + 8s = 80 + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
16 + 8s = 80 + 0
16 + 8s = 80

Solving
16 + 8s = 80

Solving for variable 's'.

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

Add '-16' to each side of the equation.
16 + -16 + 8s = 80 + -16

Combine like terms: 16 + -16 = 0
0 + 8s = 80 + -16
8s = 80 + -16

Combine like terms: 80 + -16 = 64
8s = 64

Divide each side by '8'.
s = 8

Simplifying
s = 8