35=-12s-s^2

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Solution for 35=-12s-s^2 equation:


Simplifying
35 = -12s + -1s2

Solving
35 = -12s + -1s2

Solving for variable 's'.

Reorder the terms:
35 + 12s + s2 = -12s + 12s + -1s2 + s2

Combine like terms: -12s + 12s = 0
35 + 12s + s2 = 0 + -1s2 + s2
35 + 12s + s2 = -1s2 + s2

Combine like terms: -1s2 + s2 = 0
35 + 12s + s2 = 0

Factor a trinomial.
(7 + s)(5 + s) = 0

Subproblem 1

Set the factor '(7 + s)' equal to zero and attempt to solve: Simplifying 7 + s = 0 Solving 7 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + s = 0 + -7 s = 0 + -7 Combine like terms: 0 + -7 = -7 s = -7 Simplifying s = -7

Subproblem 2

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

Solution

s = {-7, -5}

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