5s^2=-23s-12

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Solution for 5s^2=-23s-12 equation:


Simplifying
5s2 = -23s + -12

Reorder the terms:
5s2 = -12 + -23s

Solving
5s2 = -12 + -23s

Solving for variable 's'.

Reorder the terms:
12 + 23s + 5s2 = -12 + -23s + 12 + 23s

Reorder the terms:
12 + 23s + 5s2 = -12 + 12 + -23s + 23s

Combine like terms: -12 + 12 = 0
12 + 23s + 5s2 = 0 + -23s + 23s
12 + 23s + 5s2 = -23s + 23s

Combine like terms: -23s + 23s = 0
12 + 23s + 5s2 = 0

Factor a trinomial.
(4 + s)(3 + 5s) = 0

Subproblem 1

Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 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 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4

Subproblem 2

Set the factor '(3 + 5s)' equal to zero and attempt to solve: Simplifying 3 + 5s = 0 Solving 3 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5s = 0 + -3 5s = 0 + -3 Combine like terms: 0 + -3 = -3 5s = -3 Divide each side by '5'. s = -0.6 Simplifying s = -0.6

Solution

s = {-4, -0.6}

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