(s-4)(s+81)=0

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Solution for (s-4)(s+81)=0 equation:


Simplifying
(s + -4)(s + 81) = 0

Reorder the terms:
(-4 + s)(s + 81) = 0

Reorder the terms:
(-4 + s)(81 + s) = 0

Multiply (-4 + s) * (81 + s)
(-4(81 + s) + s(81 + s)) = 0
((81 * -4 + s * -4) + s(81 + s)) = 0
((-324 + -4s) + s(81 + s)) = 0
(-324 + -4s + (81 * s + s * s)) = 0
(-324 + -4s + (81s + s2)) = 0

Combine like terms: -4s + 81s = 77s
(-324 + 77s + s2) = 0

Solving
-324 + 77s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-81 + -1s)(4 + -1s) = 0

Subproblem 1

Set the factor '(-81 + -1s)' equal to zero and attempt to solve: Simplifying -81 + -1s = 0 Solving -81 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -1s = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -1s = 0 + 81 -1s = 0 + 81 Combine like terms: 0 + 81 = 81 -1s = 81 Divide each side by '-1'. s = -81 Simplifying s = -81

Subproblem 2

Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4

Solution

s = {-81, 4}

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