(3s+11)(s-4)=0

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Solution for (3s+11)(s-4)=0 equation:


Simplifying
(3s + 11)(s + -4) = 0

Reorder the terms:
(11 + 3s)(s + -4) = 0

Reorder the terms:
(11 + 3s)(-4 + s) = 0

Multiply (11 + 3s) * (-4 + s)
(11(-4 + s) + 3s * (-4 + s)) = 0
((-4 * 11 + s * 11) + 3s * (-4 + s)) = 0
((-44 + 11s) + 3s * (-4 + s)) = 0
(-44 + 11s + (-4 * 3s + s * 3s)) = 0
(-44 + 11s + (-12s + 3s2)) = 0

Combine like terms: 11s + -12s = -1s
(-44 + -1s + 3s2) = 0

Solving
-44 + -1s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-11 + -3s)(4 + -1s) = 0


Subproblem 1
Set the factor '(-11 + -3s)' equal to zero and attempt to solve:

Simplifying
-11 + -3s = 0

Solving
-11 + -3s = 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 + -3s = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3s = 0 + 11
-3s = 0 + 11

Combine like terms: 0 + 11 = 11
-3s = 11

Divide each side by '-3'.
s = -3.666666667

Simplifying
s = -3.666666667

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 = {-3.666666667, 4}

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