18=s(s-7)

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Solution for 18=s(s-7) equation:


Simplifying
18 = s(s + -7)

Reorder the terms:
18 = s(-7 + s)
18 = (-7 * s + s * s)
18 = (-7s + s2)

Solving
18 = -7s + s2

Solving for variable 's'.

Reorder the terms:
18 + 7s + -1s2 = -7s + 7s + s2 + -1s2

Combine like terms: -7s + 7s = 0
18 + 7s + -1s2 = 0 + s2 + -1s2
18 + 7s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
18 + 7s + -1s2 = 0

Factor a trinomial.
(9 + -1s)(2 + s) = 0

Subproblem 1

Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9

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 = {9, -2}

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