(y-4)(3x+5y-2)=0

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Solution for (y-4)(3x+5y-2)=0 equation: 


Simplifying
(y + -4)(3x + 5y + -2) = 0

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

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

Multiply (-4 + y) * (-2 + 3x + 5y)
(-4(-2 + 3x + 5y) + y(-2 + 3x + 5y)) = 0
((-2 * -4 + 3x * -4 + 5y * -4) + y(-2 + 3x + 5y)) = 0
((8 + -12x + -20y) + y(-2 + 3x + 5y)) = 0
(8 + -12x + -20y + (-2 * y + 3x * y + 5y * y)) = 0

Reorder the terms:
(8 + -12x + -20y + (3xy + -2y + 5y2)) = 0
(8 + -12x + -20y + (3xy + -2y + 5y2)) = 0

Reorder the terms:
(8 + -12x + 3xy + -20y + -2y + 5y2) = 0

Combine like terms: -20y + -2y = -22y
(8 + -12x + 3xy + -22y + 5y2) = 0

Solving
8 + -12x + 3xy + -22y + 5y2 = 0

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -12x + 3xy + -22y + -8 + 5y2 = 0 + -8

Reorder the terms:
8 + -8 + -12x + 3xy + -22y + 5y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -12x + 3xy + -22y + 5y2 = 0 + -8
-12x + 3xy + -22y + 5y2 = 0 + -8

Combine like terms: 0 + -8 = -8
-12x + 3xy + -22y + 5y2 = -8

Add '22y' to each side of the equation.
-12x + 3xy + -22y + 22y + 5y2 = -8 + 22y

Combine like terms: -22y + 22y = 0
-12x + 3xy + 0 + 5y2 = -8 + 22y
-12x + 3xy + 5y2 = -8 + 22y

Add '-5y2' to each side of the equation.
-12x + 3xy + 5y2 + -5y2 = -8 + 22y + -5y2

Combine like terms: 5y2 + -5y2 = 0
-12x + 3xy + 0 = -8 + 22y + -5y2
-12x + 3xy = -8 + 22y + -5y2

Reorder the terms:
8 + -12x + 3xy + -22y + 5y2 = -8 + 22y + -5y2 + 8 + -22y + 5y2

Reorder the terms:
8 + -12x + 3xy + -22y + 5y2 = -8 + 8 + 22y + -22y + -5y2 + 5y2

Combine like terms: -8 + 8 = 0
8 + -12x + 3xy + -22y + 5y2 = 0 + 22y + -22y + -5y2 + 5y2
8 + -12x + 3xy + -22y + 5y2 = 22y + -22y + -5y2 + 5y2

Combine like terms: 22y + -22y = 0
8 + -12x + 3xy + -22y + 5y2 = 0 + -5y2 + 5y2
8 + -12x + 3xy + -22y + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
8 + -12x + 3xy + -22y + 5y2 = 0

The solution to this equation could not be determined.

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