y^2(x-8)-13y(x-8)+36(x-8)=0

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Solution for y^2(x-8)-13y(x-8)+36(x-8)=0 equation: 


Simplifying
y2(x + -8) + -13y(x + -8) + 36(x + -8) = 0

Reorder the terms:
y2(-8 + x) + -13y(x + -8) + 36(x + -8) = 0
(-8 * y2 + x * y2) + -13y(x + -8) + 36(x + -8) = 0

Reorder the terms:
(xy2 + -8y2) + -13y(x + -8) + 36(x + -8) = 0
(xy2 + -8y2) + -13y(x + -8) + 36(x + -8) = 0

Reorder the terms:
xy2 + -8y2 + -13y(-8 + x) + 36(x + -8) = 0
xy2 + -8y2 + (-8 * -13y + x * -13y) + 36(x + -8) = 0

Reorder the terms:
xy2 + -8y2 + (-13xy + 104y) + 36(x + -8) = 0
xy2 + -8y2 + (-13xy + 104y) + 36(x + -8) = 0

Reorder the terms:
xy2 + -8y2 + -13xy + 104y + 36(-8 + x) = 0
xy2 + -8y2 + -13xy + 104y + (-8 * 36 + x * 36) = 0
xy2 + -8y2 + -13xy + 104y + (-288 + 36x) = 0

Reorder the terms:
-288 + 36x + -13xy + xy2 + 104y + -8y2 = 0

Solving
-288 + 36x + -13xy + xy2 + 104y + -8y2 = 0

Solving for variable 'x'.

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

Add '288' to each side of the equation.
-288 + 36x + -13xy + xy2 + 104y + 288 + -8y2 = 0 + 288

Reorder the terms:
-288 + 288 + 36x + -13xy + xy2 + 104y + -8y2 = 0 + 288

Combine like terms: -288 + 288 = 0
0 + 36x + -13xy + xy2 + 104y + -8y2 = 0 + 288
36x + -13xy + xy2 + 104y + -8y2 = 0 + 288

Combine like terms: 0 + 288 = 288
36x + -13xy + xy2 + 104y + -8y2 = 288

Add '-104y' to each side of the equation.
36x + -13xy + xy2 + 104y + -104y + -8y2 = 288 + -104y

Combine like terms: 104y + -104y = 0
36x + -13xy + xy2 + 0 + -8y2 = 288 + -104y
36x + -13xy + xy2 + -8y2 = 288 + -104y

Add '8y2' to each side of the equation.
36x + -13xy + xy2 + -8y2 + 8y2 = 288 + -104y + 8y2

Combine like terms: -8y2 + 8y2 = 0
36x + -13xy + xy2 + 0 = 288 + -104y + 8y2
36x + -13xy + xy2 = 288 + -104y + 8y2

Reorder the terms:
-288 + 36x + -13xy + xy2 + 104y + -8y2 = 288 + -104y + 8y2 + -288 + 104y + -8y2

Reorder the terms:
-288 + 36x + -13xy + xy2 + 104y + -8y2 = 288 + -288 + -104y + 104y + 8y2 + -8y2

Combine like terms: 288 + -288 = 0
-288 + 36x + -13xy + xy2 + 104y + -8y2 = 0 + -104y + 104y + 8y2 + -8y2
-288 + 36x + -13xy + xy2 + 104y + -8y2 = -104y + 104y + 8y2 + -8y2

Combine like terms: -104y + 104y = 0
-288 + 36x + -13xy + xy2 + 104y + -8y2 = 0 + 8y2 + -8y2
-288 + 36x + -13xy + xy2 + 104y + -8y2 = 8y2 + -8y2

Combine like terms: 8y2 + -8y2 = 0
-288 + 36x + -13xy + xy2 + 104y + -8y2 = 0

The solution to this equation could not be determined.

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