5s^2-36s-32=0

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Solution for 5s^2-36s-32=0 equation:


Simplifying
5s2 + -36s + -32 = 0

Reorder the terms:
-32 + -36s + 5s2 = 0

Solving
-32 + -36s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-4 + -5s)(8 + -1s) = 0

Subproblem 1

Set the factor '(-4 + -5s)' equal to zero and attempt to solve: Simplifying -4 + -5s = 0 Solving -4 + -5s = 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 + -5s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5s = 0 + 4 -5s = 0 + 4 Combine like terms: 0 + 4 = 4 -5s = 4 Divide each side by '-5'. s = -0.8 Simplifying s = -0.8

Subproblem 2

Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8

Solution

s = {-0.8, 8}

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