s^2-4s=16+2s

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Solution for s^2-4s=16+2s equation:


Simplifying
s2 + -4s = 16 + 2s

Reorder the terms:
-4s + s2 = 16 + 2s

Solving
-4s + s2 = 16 + 2s

Solving for variable 's'.

Reorder the terms:
-16 + -4s + -2s + s2 = 16 + 2s + -16 + -2s

Combine like terms: -4s + -2s = -6s
-16 + -6s + s2 = 16 + 2s + -16 + -2s

Reorder the terms:
-16 + -6s + s2 = 16 + -16 + 2s + -2s

Combine like terms: 16 + -16 = 0
-16 + -6s + s2 = 0 + 2s + -2s
-16 + -6s + s2 = 2s + -2s

Combine like terms: 2s + -2s = 0
-16 + -6s + s2 = 0

Factor a trinomial.
(-2 + -1s)(8 + -1s) = 0

Subproblem 1

Set the factor '(-2 + -1s)' equal to zero and attempt to solve: Simplifying -2 + -1s = 0 Solving -2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1s = 0 + 2 -1s = 0 + 2 Combine like terms: 0 + 2 = 2 -1s = 2 Divide each side by '-1'. s = -2 Simplifying s = -2

Subproblem 2

Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8

Solution

s = {-2, 8}

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