3y^3+36y^2=3y^2

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Solution for 3y^3+36y^2=3y^2 equation: 


Simplifying
3y3 + 36y2 = 3y2

Reorder the terms:
36y2 + 3y3 = 3y2

Solving
36y2 + 3y3 = 3y2

Solving for variable 'y'.

Reorder the terms:
36y2 + -3y2 + 3y3 = 3y2 + -3y2

Combine like terms: 36y2 + -3y2 = 33y2
33y2 + 3y3 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
33y2 + 3y3 = 0

Factor out the Greatest Common Factor (GCF), '3y2'.
3y2(11 + y) = 0

Ignore the factor 3.

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 '(11 + y)' equal to zero and attempt to solve:

Simplifying
11 + y = 0

Solving
11 + y = 0

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

Add '-11' to each side of the equation.
11 + -11 + y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + y = 0 + -11
y = 0 + -11

Combine like terms: 0 + -11 = -11
y = -11

Simplifying
y = -11
Solution
y = {0, -11}

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