0=3y^2-6y

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Solution for 0=3y^2-6y equation:


Simplifying
0 = 3y2 + -6y

Reorder the terms:
0 = -6y + 3y2

Solving
0 = -6y + 3y2

Solving for variable 'y'.
Remove the zero:
6y + -3y2 = -6y + 3y2 + 6y + -3y2

Reorder the terms:
6y + -3y2 = -6y + 6y + 3y2 + -3y2

Combine like terms: -6y + 6y = 0
6y + -3y2 = 0 + 3y2 + -3y2
6y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
6y + -3y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(2 + -1y) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {0, 2}

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