12=s^2-4s

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Solution for 12=s^2-4s equation:


Simplifying
12 = s2 + -4s

Reorder the terms:
12 = -4s + s2

Solving
12 = -4s + s2

Solving for variable 's'.

Reorder the terms:
12 + 4s + -1s2 = -4s + 4s + s2 + -1s2

Combine like terms: -4s + 4s = 0
12 + 4s + -1s2 = 0 + s2 + -1s2
12 + 4s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
12 + 4s + -1s2 = 0

Factor a trinomial.
(6 + -1s)(2 + s) = 0

Subproblem 1

Set the factor '(6 + -1s)' equal to zero and attempt to solve: Simplifying 6 + -1s = 0 Solving 6 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1s = 0 + -6 -1s = 0 + -6 Combine like terms: 0 + -6 = -6 -1s = -6 Divide each side by '-1'. s = 6 Simplifying s = 6

Subproblem 2

Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 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 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2

Solution

s = {6, -2}

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