s^2+1=2s

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Solution for s^2+1=2s equation:


Simplifying
s2 + 1 = 2s

Reorder the terms:
1 + s2 = 2s

Solving
1 + s2 = 2s

Solving for variable 's'.

Reorder the terms:
1 + -2s + s2 = 2s + -2s

Combine like terms: 2s + -2s = 0
1 + -2s + s2 = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

s = {1, 1}

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