24=s(s-5)

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Solution for 24=s(s-5) equation:


Simplifying
24 = s(s + -5)

Reorder the terms:
24 = s(-5 + s)
24 = (-5 * s + s * s)
24 = (-5s + s2)

Solving
24 = -5s + s2

Solving for variable 's'.

Reorder the terms:
24 + 5s + -1s2 = -5s + 5s + s2 + -1s2

Combine like terms: -5s + 5s = 0
24 + 5s + -1s2 = 0 + s2 + -1s2
24 + 5s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
24 + 5s + -1s2 = 0

Factor a trinomial.
(8 + -1s)(3 + s) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 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 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3

Solution

s = {8, -3}

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