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

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


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

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

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

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

Reorder the terms for easier multiplication:
x(-4 + 3x + 2y)(2x + 5y) = 0

Multiply (-4 + 3x + 2y) * (2x + 5y)
x(-4(2x + 5y) + 3x * (2x + 5y) + 2y * (2x + 5y)) = 0
x((2x * -4 + 5y * -4) + 3x * (2x + 5y) + 2y * (2x + 5y)) = 0
x((-8x + -20y) + 3x * (2x + 5y) + 2y * (2x + 5y)) = 0
x(-8x + -20y + (2x * 3x + 5y * 3x) + 2y * (2x + 5y)) = 0

Reorder the terms:
x(-8x + -20y + (15xy + 6x2) + 2y * (2x + 5y)) = 0
x(-8x + -20y + (15xy + 6x2) + 2y * (2x + 5y)) = 0
x(-8x + -20y + 15xy + 6x2 + (2x * 2y + 5y * 2y)) = 0
x(-8x + -20y + 15xy + 6x2 + (4xy + 10y2)) = 0

Reorder the terms:
x(-8x + 15xy + 4xy + 6x2 + -20y + 10y2) = 0

Combine like terms: 15xy + 4xy = 19xy
x(-8x + 19xy + 6x2 + -20y + 10y2) = 0
(-8x * x + 19xy * x + 6x2 * x + -20y * x + 10y2 * x) = 0

Reorder the terms:
(-20xy + 10xy2 + -8x2 + 19x2y + 6x3) = 0
(-20xy + 10xy2 + -8x2 + 19x2y + 6x3) = 0

Solving
-20xy + 10xy2 + -8x2 + 19x2y + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20y + 10y2 + -8x + 19xy + 6x2) = 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 '(-20y + 10y2 + -8x + 19xy + 6x2)' equal to zero and attempt to solve: Simplifying -20y + 10y2 + -8x + 19xy + 6x2 = 0 Reorder the terms: -8x + 19xy + 6x2 + -20y + 10y2 = 0 Solving -8x + 19xy + 6x2 + -20y + 10y2 = 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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