s^2+16=8s

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Solution for s^2+16=8s equation:


Simplifying
s2 + 16 = 8s

Reorder the terms:
16 + s2 = 8s

Solving
16 + s2 = 8s

Solving for variable 's'.

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

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

Factor a trinomial.
(4 + -1s)(4 + -1s) = 0

Subproblem 1

Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4

Subproblem 2

Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4

Solution

s = {4, 4}

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