y^2(x-6)-12y(x-6)+35(x-6)=0

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Solution for y^2(x-6)-12y(x-6)+35(x-6)=0 equation: 


Simplifying
y2(x + -6) + -12y(x + -6) + 35(x + -6) = 0

Reorder the terms:
y2(-6 + x) + -12y(x + -6) + 35(x + -6) = 0
(-6 * y2 + x * y2) + -12y(x + -6) + 35(x + -6) = 0

Reorder the terms:
(xy2 + -6y2) + -12y(x + -6) + 35(x + -6) = 0
(xy2 + -6y2) + -12y(x + -6) + 35(x + -6) = 0

Reorder the terms:
xy2 + -6y2 + -12y(-6 + x) + 35(x + -6) = 0
xy2 + -6y2 + (-6 * -12y + x * -12y) + 35(x + -6) = 0

Reorder the terms:
xy2 + -6y2 + (-12xy + 72y) + 35(x + -6) = 0
xy2 + -6y2 + (-12xy + 72y) + 35(x + -6) = 0

Reorder the terms:
xy2 + -6y2 + -12xy + 72y + 35(-6 + x) = 0
xy2 + -6y2 + -12xy + 72y + (-6 * 35 + x * 35) = 0
xy2 + -6y2 + -12xy + 72y + (-210 + 35x) = 0

Reorder the terms:
-210 + 35x + -12xy + xy2 + 72y + -6y2 = 0

Solving
-210 + 35x + -12xy + xy2 + 72y + -6y2 = 0

Solving for variable 'x'.

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

Add '210' to each side of the equation.
-210 + 35x + -12xy + xy2 + 72y + 210 + -6y2 = 0 + 210

Reorder the terms:
-210 + 210 + 35x + -12xy + xy2 + 72y + -6y2 = 0 + 210

Combine like terms: -210 + 210 = 0
0 + 35x + -12xy + xy2 + 72y + -6y2 = 0 + 210
35x + -12xy + xy2 + 72y + -6y2 = 0 + 210

Combine like terms: 0 + 210 = 210
35x + -12xy + xy2 + 72y + -6y2 = 210

Add '-72y' to each side of the equation.
35x + -12xy + xy2 + 72y + -72y + -6y2 = 210 + -72y

Combine like terms: 72y + -72y = 0
35x + -12xy + xy2 + 0 + -6y2 = 210 + -72y
35x + -12xy + xy2 + -6y2 = 210 + -72y

Add '6y2' to each side of the equation.
35x + -12xy + xy2 + -6y2 + 6y2 = 210 + -72y + 6y2

Combine like terms: -6y2 + 6y2 = 0
35x + -12xy + xy2 + 0 = 210 + -72y + 6y2
35x + -12xy + xy2 = 210 + -72y + 6y2

Reorder the terms:
-210 + 35x + -12xy + xy2 + 72y + -6y2 = 210 + -72y + 6y2 + -210 + 72y + -6y2

Reorder the terms:
-210 + 35x + -12xy + xy2 + 72y + -6y2 = 210 + -210 + -72y + 72y + 6y2 + -6y2

Combine like terms: 210 + -210 = 0
-210 + 35x + -12xy + xy2 + 72y + -6y2 = 0 + -72y + 72y + 6y2 + -6y2
-210 + 35x + -12xy + xy2 + 72y + -6y2 = -72y + 72y + 6y2 + -6y2

Combine like terms: -72y + 72y = 0
-210 + 35x + -12xy + xy2 + 72y + -6y2 = 0 + 6y2 + -6y2
-210 + 35x + -12xy + xy2 + 72y + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-210 + 35x + -12xy + xy2 + 72y + -6y2 = 0

The solution to this equation could not be determined.

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