Y^2(x-4)+3y(x-4)-40(x-4)=

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Solution for Y^2(x-4)+3y(x-4)-40(x-4)= equation: 


Simplifying
Y2(x + -4) + 3y(x + -4) + -40(x + -4) = 0

Reorder the terms:
Y2(-4 + x) + 3y(x + -4) + -40(x + -4) = 0
(-4 * Y2 + x * Y2) + 3y(x + -4) + -40(x + -4) = 0
(-4Y2 + xY2) + 3y(x + -4) + -40(x + -4) = 0

Reorder the terms:
-4Y2 + xY2 + 3y(-4 + x) + -40(x + -4) = 0
-4Y2 + xY2 + (-4 * 3y + x * 3y) + -40(x + -4) = 0

Reorder the terms:
-4Y2 + xY2 + (3xy + -12y) + -40(x + -4) = 0
-4Y2 + xY2 + (3xy + -12y) + -40(x + -4) = 0

Reorder the terms:
-4Y2 + xY2 + 3xy + -12y + -40(-4 + x) = 0
-4Y2 + xY2 + 3xy + -12y + (-4 * -40 + x * -40) = 0
-4Y2 + xY2 + 3xy + -12y + (160 + -40x) = 0

Reorder the terms:
160 + -4Y2 + -40x + xY2 + 3xy + -12y = 0

Solving
160 + -4Y2 + -40x + xY2 + 3xy + -12y = 0

Solving for variable 'Y'.

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

Add '-160' to each side of the equation.
160 + -4Y2 + -40x + xY2 + 3xy + -160 + -12y = 0 + -160

Reorder the terms:
160 + -160 + -4Y2 + -40x + xY2 + 3xy + -12y = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -4Y2 + -40x + xY2 + 3xy + -12y = 0 + -160
-4Y2 + -40x + xY2 + 3xy + -12y = 0 + -160

Combine like terms: 0 + -160 = -160
-4Y2 + -40x + xY2 + 3xy + -12y = -160

Add '40x' to each side of the equation.
-4Y2 + -40x + xY2 + 3xy + 40x + -12y = -160 + 40x

Reorder the terms:
-4Y2 + -40x + 40x + xY2 + 3xy + -12y = -160 + 40x

Combine like terms: -40x + 40x = 0
-4Y2 + 0 + xY2 + 3xy + -12y = -160 + 40x
-4Y2 + xY2 + 3xy + -12y = -160 + 40x

Add '-3xy' to each side of the equation.
-4Y2 + xY2 + 3xy + -3xy + -12y = -160 + 40x + -3xy

Combine like terms: 3xy + -3xy = 0
-4Y2 + xY2 + 0 + -12y = -160 + 40x + -3xy
-4Y2 + xY2 + -12y = -160 + 40x + -3xy

Add '12y' to each side of the equation.
-4Y2 + xY2 + -12y + 12y = -160 + 40x + -3xy + 12y

Combine like terms: -12y + 12y = 0
-4Y2 + xY2 + 0 = -160 + 40x + -3xy + 12y
-4Y2 + xY2 = -160 + 40x + -3xy + 12y

Reorder the terms:
160 + -4Y2 + -40x + xY2 + 3xy + -12y = -160 + 40x + -3xy + 12y + 160 + -40x + 3xy + -12y

Reorder the terms:
160 + -4Y2 + -40x + xY2 + 3xy + -12y = -160 + 160 + 40x + -40x + -3xy + 3xy + 12y + -12y

Combine like terms: -160 + 160 = 0
160 + -4Y2 + -40x + xY2 + 3xy + -12y = 0 + 40x + -40x + -3xy + 3xy + 12y + -12y
160 + -4Y2 + -40x + xY2 + 3xy + -12y = 40x + -40x + -3xy + 3xy + 12y + -12y

Combine like terms: 40x + -40x = 0
160 + -4Y2 + -40x + xY2 + 3xy + -12y = 0 + -3xy + 3xy + 12y + -12y
160 + -4Y2 + -40x + xY2 + 3xy + -12y = -3xy + 3xy + 12y + -12y

Combine like terms: -3xy + 3xy = 0
160 + -4Y2 + -40x + xY2 + 3xy + -12y = 0 + 12y + -12y
160 + -4Y2 + -40x + xY2 + 3xy + -12y = 12y + -12y

Combine like terms: 12y + -12y = 0
160 + -4Y2 + -40x + xY2 + 3xy + -12y = 0

The solution to this equation could not be determined.

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