3y^2-2y=0

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


Simplifying
3y2 + -2y = 0

Reorder the terms:
-2y + 3y2 = 0

Solving
-2y + 3y2 = 0

Solving for variable 'y'.

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

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 + 3y)' equal to zero and attempt to solve: Simplifying -2 + 3y = 0 Solving -2 + 3y = 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 + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 0 + 2 3y = 0 + 2 Combine like terms: 0 + 2 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667

Solution

y = {0, 0.6666666667}

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