28s^2-8s=4s

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Solution for 28s^2-8s=4s equation:


Simplifying
28s2 + -8s = 4s

Reorder the terms:
-8s + 28s2 = 4s

Solving
-8s + 28s2 = 4s

Solving for variable 's'.

Reorder the terms:
-8s + -4s + 28s2 = 4s + -4s

Combine like terms: -8s + -4s = -12s
-12s + 28s2 = 4s + -4s

Combine like terms: 4s + -4s = 0
-12s + 28s2 = 0

Factor out the Greatest Common Factor (GCF), '4s'.
4s(-3 + 7s) = 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 '(-3 + 7s)' equal to zero and attempt to solve: Simplifying -3 + 7s = 0 Solving -3 + 7s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7s = 0 + 3 7s = 0 + 3 Combine like terms: 0 + 3 = 3 7s = 3 Divide each side by '7'. s = 0.4285714286 Simplifying s = 0.4285714286

Solution

s = {0, 0.4285714286}

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