20s^2-12s=4s

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Solution for 20s^2-12s=4s equation:


Simplifying
20s2 + -12s = 4s

Reorder the terms:
-12s + 20s2 = 4s

Solving
-12s + 20s2 = 4s

Solving for variable 's'.

Reorder the terms:
-12s + -4s + 20s2 = 4s + -4s

Combine like terms: -12s + -4s = -16s
-16s + 20s2 = 4s + -4s

Combine like terms: 4s + -4s = 0
-16s + 20s2 = 0

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

Ignore the factor 4.

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 + 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

Solution

s = {0, 0.8}

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