5s^2=20s

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Solution for 5s^2=20s equation:


Simplifying
5s2 = 20s

Solving
5s2 = 20s

Solving for variable 's'.

Reorder the terms:
-20s + 5s2 = 20s + -20s

Combine like terms: 20s + -20s = 0
-20s + 5s2 = 0

Factor out the Greatest Common Factor (GCF), '5s'.
5s(-4 + s) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0

Subproblem 2

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

Solution

s = {0, 4}

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