4y^3-y^2(3y+2)=

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Solution for 4y^3-y^2(3y+2)= equation: 


Simplifying
4y3 + -1y2(3y + 2) = 0

Reorder the terms:
4y3 + -1y2(2 + 3y) = 0
4y3 + (2 * -1y2 + 3y * -1y2) = 0
4y3 + (-2y2 + -3y3) = 0

Reorder the terms:
-2y2 + 4y3 + -3y3 = 0

Combine like terms: 4y3 + -3y3 = 1y3
-2y2 + 1y3 = 0

Solving
-2y2 + 1y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-2 + y) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}

Subproblem 2
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 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 + y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + y = 0 + 2
y = 0 + 2

Combine like terms: 0 + 2 = 2
y = 2

Simplifying
y = 2
Solution
y = {0, 2}

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