2y^2-4y^3-5y^2+6y^3=

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Solution for 2y^2-4y^3-5y^2+6y^3= equation: 


Simplifying
2y2 + -4y3 + -5y2 + 6y3 = 0

Reorder the terms:
2y2 + -5y2 + -4y3 + 6y3 = 0

Combine like terms: 2y2 + -5y2 = -3y2
-3y2 + -4y3 + 6y3 = 0

Combine like terms: -4y3 + 6y3 = 2y3
-3y2 + 2y3 = 0

Solving
-3y2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-3 + 2y) = 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 '(-3 + 2y)' equal to zero and attempt to solve:

Simplifying
-3 + 2y = 0

Solving
-3 + 2y = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 0 + 3
2y = 0 + 3

Combine like terms: 0 + 3 = 3
2y = 3

Divide each side by '2'.
y = 1.5

Simplifying
y = 1.5
Solution
y = {0, 1.5}

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