78+18s^2=-96s

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Solution for 78+18s^2=-96s equation:


Simplifying
78 + 18s2 = -96s

Solving
78 + 18s2 = -96s

Solving for variable 's'.

Reorder the terms:
78 + 96s + 18s2 = -96s + 96s

Combine like terms: -96s + 96s = 0
78 + 96s + 18s2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(13 + 16s + 3s2) = 0

Factor a trinomial.
6((13 + 3s)(1 + s)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(13 + 3s)' equal to zero and attempt to solve: Simplifying 13 + 3s = 0 Solving 13 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3s = 0 + -13 3s = 0 + -13 Combine like terms: 0 + -13 = -13 3s = -13 Divide each side by '3'. s = -4.333333333 Simplifying s = -4.333333333

Subproblem 2

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

Solution

s = {-4.333333333, -1}

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