28s^2-20s=4s

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Solution for 28s^2-20s=4s equation:


Simplifying
28s2 + -20s = 4s

Reorder the terms:
-20s + 28s2 = 4s

Solving
-20s + 28s2 = 4s

Solving for variable 's'.

Reorder the terms:
-20s + -4s + 28s2 = 4s + -4s

Combine like terms: -20s + -4s = -24s
-24s + 28s2 = 4s + -4s

Combine like terms: 4s + -4s = 0
-24s + 28s2 = 0

Factor out the Greatest Common Factor (GCF), '4s'.
4s(-6 + 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 '(-6 + 7s)' equal to zero and attempt to solve: Simplifying -6 + 7s = 0 Solving -6 + 7s = 0 Move all terms containing s to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7s = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7s = 0 + 6 7s = 0 + 6 Combine like terms: 0 + 6 = 6 7s = 6 Divide each side by '7'. s = 0.8571428571 Simplifying s = 0.8571428571

Solution

s = {0, 0.8571428571}

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