3y(2-3y+6)=0

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Solution for 3y(2-3y+6)=0 equation: 


Simplifying
3y(2 + -3y + 6) = 0

Reorder the terms:
3y(2 + 6 + -3y) = 0

Combine like terms: 2 + 6 = 8
3y(8 + -3y) = 0
(8 * 3y + -3y * 3y) = 0
(24y + -9y2) = 0

Solving
24y + -9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(8 + -3y) = 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 '(8 + -3y)' equal to zero and attempt to solve:

Simplifying
8 + -3y = 0

Solving
8 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -3y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = 0 + -8
-3y = 0 + -8

Combine like terms: 0 + -8 = -8
-3y = -8

Divide each side by '-3'.
y = 2.666666667

Simplifying
y = 2.666666667
Solution
y = {0, 2.666666667}

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