=x^2(y+3)

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


Simplifying
0 = x2(y + 3)

Reorder the terms:
0 = x2(3 + y)
0 = (3 * x2 + y * x2)
0 = (3x2 + x2y)

Solving
0 = 3x2 + x2y

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
0 + -3x2 = 3x2 + -3x2 + x2y
Remove the zero:
-3x2 = 3x2 + -3x2 + x2y

Combine like terms: 3x2 + -3x2 = 0
-3x2 = 0 + x2y
-3x2 = x2y

Add '-1x2y' to each side of the equation.
-3x2 + -1x2y = x2y + -1x2y

Combine like terms: x2y + -1x2y = 0
-3x2 + -1x2y = 0

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(3 + y) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

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

Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 0

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

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

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

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

Add '-1y' to each side of the equation.
y + -1y = -3 + -1y

Combine like terms: y + -1y = 0
0 = -3 + -1y

Simplifying
0 = -3 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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