s(s-1)=6

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Solution for s(s-1)=6 equation:


Simplifying
s(s + -1) = 6

Reorder the terms:
s(-1 + s) = 6
(-1 * s + s * s) = 6
(-1s + s2) = 6

Solving
-1s + s2 = 6

Solving for variable 's'.

Reorder the terms:
-6 + -1s + s2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -1s + s2 = 0

Factor a trinomial.
(-2 + -1s)(3 + -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 '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3

Solution

s = {-2, 3}

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