(2x+-3y+3x)x(-1y+4x+2y)=

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Solution for (2x+-3y+3x)x(-1y+4x+2y)= equation: 


Simplifying
(2x + -3y + 3x) * x(-1y + 4x + 2y) = 0

Reorder the terms:
(2x + 3x + -3y) * x(-1y + 4x + 2y) = 0

Combine like terms: 2x + 3x = 5x
(5x + -3y) * x(-1y + 4x + 2y) = 0

Reorder the terms:
(5x + -3y) * x(4x + -1y + 2y) = 0

Combine like terms: -1y + 2y = 1y
(5x + -3y) * x(4x + 1y) = 0

Reorder the terms for easier multiplication:
x(5x + -3y)(4x + 1y) = 0

Multiply (5x + -3y) * (4x + 1y)
x(5x * (4x + 1y) + -3y * (4x + 1y)) = 0
x((4x * 5x + 1y * 5x) + -3y * (4x + 1y)) = 0

Reorder the terms:
x((5xy + 20x2) + -3y * (4x + 1y)) = 0
x((5xy + 20x2) + -3y * (4x + 1y)) = 0
x(5xy + 20x2 + (4x * -3y + 1y * -3y)) = 0
x(5xy + 20x2 + (-12xy + -3y2)) = 0

Reorder the terms:
x(5xy + -12xy + 20x2 + -3y2) = 0

Combine like terms: 5xy + -12xy = -7xy
x(-7xy + 20x2 + -3y2) = 0
(-7xy * x + 20x2 * x + -3y2 * x) = 0

Reorder the terms:
(-3xy2 + -7x2y + 20x3) = 0
(-3xy2 + -7x2y + 20x3) = 0

Solving
-3xy2 + -7x2y + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3y2 + -7xy + 20x2) = 0

Factor a trinomial.
x((-1y + -4x)(3y + -5x)) = 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 + -4x)' equal to zero and attempt to solve:

Simplifying
-1y + -4x = 0

Reorder the terms:
-4x + -1y = 0

Solving
-4x + -1y = 0

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

Add 'y' to each side of the equation.
-4x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-4x + 0 = 0 + y
-4x = 0 + y
Remove the zero:
-4x = y

Divide each side by '-4'.
x = -0.25y

Simplifying
x = -0.25y

Subproblem 3
Set the factor '(3y + -5x)' equal to zero and attempt to solve:

Simplifying
3y + -5x = 0

Reorder the terms:
-5x + 3y = 0

Solving
-5x + 3y = 0

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

Add '-3y' to each side of the equation.
-5x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-5x + 0 = 0 + -3y
-5x = 0 + -3y
Remove the zero:
-5x = -3y

Divide each side by '-5'.
x = 0.6y

Simplifying
x = 0.6y
Solution
x = {0, -0.25y, 0.6y}

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