(5s+11)(s+10)=0

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Solution for (5s+11)(s+10)=0 equation:


Simplifying
(5s + 11)(s + 10) = 0

Reorder the terms:
(11 + 5s)(s + 10) = 0

Reorder the terms:
(11 + 5s)(10 + s) = 0

Multiply (11 + 5s) * (10 + s)
(11(10 + s) + 5s * (10 + s)) = 0
((10 * 11 + s * 11) + 5s * (10 + s)) = 0
((110 + 11s) + 5s * (10 + s)) = 0
(110 + 11s + (10 * 5s + s * 5s)) = 0
(110 + 11s + (50s + 5s2)) = 0

Combine like terms: 11s + 50s = 61s
(110 + 61s + 5s2) = 0

Solving
110 + 61s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(10 + s)(11 + 5s) = 0

Subproblem 1

Set the factor '(10 + s)' equal to zero and attempt to solve: Simplifying 10 + s = 0 Solving 10 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + s = 0 + -10 s = 0 + -10 Combine like terms: 0 + -10 = -10 s = -10 Simplifying s = -10

Subproblem 2

Set the factor '(11 + 5s)' equal to zero and attempt to solve: Simplifying 11 + 5s = 0 Solving 11 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5s = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5s = 0 + -11 5s = 0 + -11 Combine like terms: 0 + -11 = -11 5s = -11 Divide each side by '5'. s = -2.2 Simplifying s = -2.2

Solution

s = {-10, -2.2}

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