(s-2)(s+2)=(s-8)(s-12)

Solution for (s-2)(s+2)=(s-8)(s-12) equation:

Simplifying
(s + -2)(s + 2) = (s + -8)(s + -12)

Reorder the terms:
(-2 + s)(s + 2) = (s + -8)(s + -12)

Reorder the terms:
(-2 + s)(2 + s) = (s + -8)(s + -12)

Multiply (-2 + s) * (2 + s)
(-2(2 + s) + s(2 + s)) = (s + -8)(s + -12)
((2 * -2 + s * -2) + s(2 + s)) = (s + -8)(s + -12)
((-4 + -2s) + s(2 + s)) = (s + -8)(s + -12)
(-4 + -2s + (2 * s + s * s)) = (s + -8)(s + -12)
(-4 + -2s + (2s + s2)) = (s + -8)(s + -12)

Combine like terms: -2s + 2s = 0
(-4 + 0 + s2) = (s + -8)(s + -12)
(-4 + s2) = (s + -8)(s + -12)

Reorder the terms:
-4 + s2 = (-8 + s)(s + -12)

Reorder the terms:
-4 + s2 = (-8 + s)(-12 + s)

Multiply (-8 + s) * (-12 + s)
-4 + s2 = (-8(-12 + s) + s(-12 + s))
-4 + s2 = ((-12 * -8 + s * -8) + s(-12 + s))
-4 + s2 = ((96 + -8s) + s(-12 + s))
-4 + s2 = (96 + -8s + (-12 * s + s * s))
-4 + s2 = (96 + -8s + (-12s + s2))

Combine like terms: -8s + -12s = -20s
-4 + s2 = (96 + -20s + s2)

Add '-1s2' to each side of the equation.
-4 + s2 + -1s2 = 96 + -20s + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-4 + 0 = 96 + -20s + s2 + -1s2
-4 = 96 + -20s + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-4 = 96 + -20s + 0
-4 = 96 + -20s

Solving
-4 = 96 + -20s

Solving for variable 's'.

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

Add '20s' to each side of the equation.
-4 + 20s = 96 + -20s + 20s

Combine like terms: -20s + 20s = 0
-4 + 20s = 96 + 0
-4 + 20s = 96

Add '4' to each side of the equation.
-4 + 4 + 20s = 96 + 4

Combine like terms: -4 + 4 = 0
0 + 20s = 96 + 4
20s = 96 + 4

Combine like terms: 96 + 4 = 100
20s = 100

Divide each side by '20'.
s = 5

Simplifying
s = 5