128s^2+320s+200=

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Solution for 128s^2+320s+200= equation:


Simplifying
128s2 + 320s + 200 = 0

Reorder the terms:
200 + 320s + 128s2 = 0

Solving
200 + 320s + 128s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '8'.
8(25 + 40s + 16s2) = 0

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

Ignore the factor 8.

Subproblem 1

Set the factor '(5 + 4s)' equal to zero and attempt to solve: Simplifying 5 + 4s = 0 Solving 5 + 4s = 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 + 4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4s = 0 + -5 4s = 0 + -5 Combine like terms: 0 + -5 = -5 4s = -5 Divide each side by '4'. s = -1.25 Simplifying s = -1.25

Subproblem 2

Set the factor '(5 + 4s)' equal to zero and attempt to solve: Simplifying 5 + 4s = 0 Solving 5 + 4s = 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 + 4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4s = 0 + -5 4s = 0 + -5 Combine like terms: 0 + -5 = -5 4s = -5 Divide each side by '4'. s = -1.25 Simplifying s = -1.25

Solution

s = {-1.25, -1.25}

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