21s^2-12s=3s

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Solution for 21s^2-12s=3s equation:


Simplifying
21s2 + -12s = 3s

Reorder the terms:
-12s + 21s2 = 3s

Solving
-12s + 21s2 = 3s

Solving for variable 's'.

Reorder the terms:
-12s + -3s + 21s2 = 3s + -3s

Combine like terms: -12s + -3s = -15s
-15s + 21s2 = 3s + -3s

Combine like terms: 3s + -3s = 0
-15s + 21s2 = 0

Factor out the Greatest Common Factor (GCF), '3s'.
3s(-5 + 7s) = 0

Ignore the factor 3.

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 '(-5 + 7s)' equal to zero and attempt to solve: Simplifying -5 + 7s = 0 Solving -5 + 7s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7s = 0 + 5 7s = 0 + 5 Combine like terms: 0 + 5 = 5 7s = 5 Divide each side by '7'. s = 0.7142857143 Simplifying s = 0.7142857143

Solution

s = {0, 0.7142857143}

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