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

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


Simplifying
(3x + -1y)(x2 + x) = 0

Reorder the terms:
(3x + -1y)(x + x2) = 0

Multiply (3x + -1y) * (x + x2)
(3x * (x + x2) + -1y * (x + x2)) = 0
((x * 3x + x2 * 3x) + -1y * (x + x2)) = 0
((3x2 + 3x3) + -1y * (x + x2)) = 0
(3x2 + 3x3 + (x * -1y + x2 * -1y)) = 0
(3x2 + 3x3 + (-1xy + -1x2y)) = 0

Reorder the terms:
(-1xy + 3x2 + -1x2y + 3x3) = 0
(-1xy + 3x2 + -1x2y + 3x3) = 0

Solving
-1xy + 3x2 + -1x2y + 3x3 = 0

Solving for variable 'x'.

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


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1y + 3x + -1xy + 3x2)' equal to zero and attempt to solve:

Simplifying
-1y + 3x + -1xy + 3x2 = 0

Reorder the terms:
3x + -1xy + 3x2 + -1y = 0

Solving
3x + -1xy + 3x2 + -1y = 0

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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