5y^2-4y^3-7y^2+7y^3=

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Solution for 5y^2-4y^3-7y^2+7y^3= equation: 


Simplifying
5y2 + -4y3 + -7y2 + 7y3 = 0

Reorder the terms:
5y2 + -7y2 + -4y3 + 7y3 = 0

Combine like terms: 5y2 + -7y2 = -2y2
-2y2 + -4y3 + 7y3 = 0

Combine like terms: -4y3 + 7y3 = 3y3
-2y2 + 3y3 = 0

Solving
-2y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-2 + 3y) = 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 + 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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