(2x+3x+4y)*(3xy+3x)=

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Solution for (2x+3x+4y)*(3xy+3x)= equation: 


Simplifying
(2x + 3x + 4y)(3xy + 3x) = 0

Combine like terms: 2x + 3x = 5x
(5x + 4y)(3xy + 3x) = 0

Reorder the terms:
(5x + 4y)(3x + 3xy) = 0

Multiply (5x + 4y) * (3x + 3xy)
(5x * (3x + 3xy) + 4y * (3x + 3xy)) = 0
((3x * 5x + 3xy * 5x) + 4y * (3x + 3xy)) = 0
((15x2 + 15x2y) + 4y * (3x + 3xy)) = 0
(15x2 + 15x2y + (3x * 4y + 3xy * 4y)) = 0
(15x2 + 15x2y + (12xy + 12xy2)) = 0

Reorder the terms:
(12xy + 12xy2 + 15x2 + 15x2y) = 0
(12xy + 12xy2 + 15x2 + 15x2y) = 0

Solving
12xy + 12xy2 + 15x2 + 15x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4y + 4y2 + 5x + 5xy) = 0

Ignore the factor 3.

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 '(4y + 4y2 + 5x + 5xy)' equal to zero and attempt to solve:

Simplifying
4y + 4y2 + 5x + 5xy = 0

Reorder the terms:
5x + 5xy + 4y + 4y2 = 0

Solving
5x + 5xy + 4y + 4y2 = 0

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

Add '-4y' to each side of the equation.
5x + 5xy + 4y + -4y + 4y2 = 0 + -4y

Combine like terms: 4y + -4y = 0
5x + 5xy + 0 + 4y2 = 0 + -4y
5x + 5xy + 4y2 = 0 + -4y
Remove the zero:
5x + 5xy + 4y2 = -4y

Add '-4y2' to each side of the equation.
5x + 5xy + 4y2 + -4y2 = -4y + -4y2

Combine like terms: 4y2 + -4y2 = 0
5x + 5xy + 0 = -4y + -4y2
5x + 5xy = -4y + -4y2

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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