(2x+3y)(3x-y)(-4x+y)=24x+-3y

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Solution for (2x+3y)(3x-y)(-4x+y)=24x+-3y equation: 


Simplifying
(2x + 3y)(3x + -1y)(-4x + y) = 24x + -3y

Multiply (2x + 3y) * (3x + -1y)
(2x * (3x + -1y) + 3y * (3x + -1y))(-4x + y) = 24x + -3y
((3x * 2x + -1y * 2x) + 3y * (3x + -1y))(-4x + y) = 24x + -3y

Reorder the terms:
((-2xy + 6x2) + 3y * (3x + -1y))(-4x + y) = 24x + -3y
((-2xy + 6x2) + 3y * (3x + -1y))(-4x + y) = 24x + -3y
(-2xy + 6x2 + (3x * 3y + -1y * 3y))(-4x + y) = 24x + -3y
(-2xy + 6x2 + (9xy + -3y2))(-4x + y) = 24x + -3y

Reorder the terms:
(-2xy + 9xy + 6x2 + -3y2)(-4x + y) = 24x + -3y

Combine like terms: -2xy + 9xy = 7xy
(7xy + 6x2 + -3y2)(-4x + y) = 24x + -3y

Multiply (7xy + 6x2 + -3y2) * (-4x + y)
(7xy * (-4x + y) + 6x2 * (-4x + y) + -3y2 * (-4x + y)) = 24x + -3y
((-4x * 7xy + y * 7xy) + 6x2 * (-4x + y) + -3y2 * (-4x + y)) = 24x + -3y

Reorder the terms:
((7xy2 + -28x2y) + 6x2 * (-4x + y) + -3y2 * (-4x + y)) = 24x + -3y
((7xy2 + -28x2y) + 6x2 * (-4x + y) + -3y2 * (-4x + y)) = 24x + -3y
(7xy2 + -28x2y + (-4x * 6x2 + y * 6x2) + -3y2 * (-4x + y)) = 24x + -3y

Reorder the terms:
(7xy2 + -28x2y + (6x2y + -24x3) + -3y2 * (-4x + y)) = 24x + -3y
(7xy2 + -28x2y + (6x2y + -24x3) + -3y2 * (-4x + y)) = 24x + -3y
(7xy2 + -28x2y + 6x2y + -24x3 + (-4x * -3y2 + y * -3y2)) = 24x + -3y
(7xy2 + -28x2y + 6x2y + -24x3 + (12xy2 + -3y3)) = 24x + -3y

Reorder the terms:
(7xy2 + 12xy2 + -28x2y + 6x2y + -24x3 + -3y3) = 24x + -3y

Combine like terms: 7xy2 + 12xy2 = 19xy2
(19xy2 + -28x2y + 6x2y + -24x3 + -3y3) = 24x + -3y

Combine like terms: -28x2y + 6x2y = -22x2y
(19xy2 + -22x2y + -24x3 + -3y3) = 24x + -3y

Solving
19xy2 + -22x2y + -24x3 + -3y3 = 24x + -3y

Solving for variable 'x'.

Reorder the terms:
-24x + 19xy2 + -22x2y + -24x3 + 3y + -3y3 = 24x + -3y + -24x + 3y

Reorder the terms:
-24x + 19xy2 + -22x2y + -24x3 + 3y + -3y3 = 24x + -24x + -3y + 3y

Combine like terms: 24x + -24x = 0
-24x + 19xy2 + -22x2y + -24x3 + 3y + -3y3 = 0 + -3y + 3y
-24x + 19xy2 + -22x2y + -24x3 + 3y + -3y3 = -3y + 3y

Combine like terms: -3y + 3y = 0
-24x + 19xy2 + -22x2y + -24x3 + 3y + -3y3 = 0

The solution to this equation could not be determined.

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