9s^2-6s=3s

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Solution for 9s^2-6s=3s equation:


Simplifying
9s2 + -6s = 3s

Reorder the terms:
-6s + 9s2 = 3s

Solving
-6s + 9s2 = 3s

Solving for variable 's'.

Reorder the terms:
-6s + -3s + 9s2 = 3s + -3s

Combine like terms: -6s + -3s = -9s
-9s + 9s2 = 3s + -3s

Combine like terms: 3s + -3s = 0
-9s + 9s2 = 0

Factor out the Greatest Common Factor (GCF), '9s'.
9s(-1 + s) = 0

Ignore the factor 9.

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 '(-1 + s)' equal to zero and attempt to solve: Simplifying -1 + s = 0 Solving -1 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + s = 0 + 1 s = 0 + 1 Combine like terms: 0 + 1 = 1 s = 1 Simplifying s = 1

Solution

s = {0, 1}

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