2s^2+20s-4000=0

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Solution for 2s^2+20s-4000=0 equation:


Simplifying
2s2 + 20s + -4000 = 0

Reorder the terms:
-4000 + 20s + 2s2 = 0

Solving
-4000 + 20s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2000 + 10s + s2) = 0

Factor a trinomial.
2((-50 + -1s)(40 + -1s)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-50 + -1s)' equal to zero and attempt to solve: Simplifying -50 + -1s = 0 Solving -50 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -1s = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -1s = 0 + 50 -1s = 0 + 50 Combine like terms: 0 + 50 = 50 -1s = 50 Divide each side by '-1'. s = -50 Simplifying s = -50

Subproblem 2

Set the factor '(40 + -1s)' equal to zero and attempt to solve: Simplifying 40 + -1s = 0 Solving 40 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1s = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1s = 0 + -40 -1s = 0 + -40 Combine like terms: 0 + -40 = -40 -1s = -40 Divide each side by '-1'. s = 40 Simplifying s = 40

Solution

s = {-50, 40}

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