=y^2(x+6)-10y(x+6)+24(x+6)

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Solution for =y^2(x+6)-10y(x+6)+24(x+6) equation: 


Simplifying
0 = y2(x + 6) + -10y(x + 6) + 24(x + 6)

Reorder the terms:
0 = y2(6 + x) + -10y(x + 6) + 24(x + 6)
0 = (6 * y2 + x * y2) + -10y(x + 6) + 24(x + 6)

Reorder the terms:
0 = (xy2 + 6y2) + -10y(x + 6) + 24(x + 6)
0 = (xy2 + 6y2) + -10y(x + 6) + 24(x + 6)

Reorder the terms:
0 = xy2 + 6y2 + -10y(6 + x) + 24(x + 6)
0 = xy2 + 6y2 + (6 * -10y + x * -10y) + 24(x + 6)

Reorder the terms:
0 = xy2 + 6y2 + (-10xy + -60y) + 24(x + 6)
0 = xy2 + 6y2 + (-10xy + -60y) + 24(x + 6)

Reorder the terms:
0 = xy2 + 6y2 + -10xy + -60y + 24(6 + x)
0 = xy2 + 6y2 + -10xy + -60y + (6 * 24 + x * 24)
0 = xy2 + 6y2 + -10xy + -60y + (144 + 24x)

Reorder the terms:
0 = 144 + 24x + -10xy + xy2 + -60y + 6y2

Solving
0 = 144 + 24x + -10xy + xy2 + -60y + 6y2

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
0 + -24x = 144 + 24x + -10xy + xy2 + -60y + -24x + 6y2
Remove the zero:
-24x = 144 + 24x + -10xy + xy2 + -60y + -24x + 6y2

Reorder the terms:
-24x = 144 + 24x + -24x + -10xy + xy2 + -60y + 6y2

Combine like terms: 24x + -24x = 0
-24x = 144 + 0 + -10xy + xy2 + -60y + 6y2
-24x = 144 + -10xy + xy2 + -60y + 6y2

Add '10xy' to each side of the equation.
-24x + 10xy = 144 + -10xy + xy2 + -60y + 10xy + 6y2

Reorder the terms:
-24x + 10xy = 144 + -10xy + 10xy + xy2 + -60y + 6y2

Combine like terms: -10xy + 10xy = 0
-24x + 10xy = 144 + 0 + xy2 + -60y + 6y2
-24x + 10xy = 144 + xy2 + -60y + 6y2

Add '-1xy2' to each side of the equation.
-24x + 10xy + -1xy2 = 144 + xy2 + -60y + -1xy2 + 6y2

Reorder the terms:
-24x + 10xy + -1xy2 = 144 + xy2 + -1xy2 + -60y + 6y2

Combine like terms: xy2 + -1xy2 = 0
-24x + 10xy + -1xy2 = 144 + 0 + -60y + 6y2
-24x + 10xy + -1xy2 = 144 + -60y + 6y2

Reorder the terms:
-144 + -24x + 10xy + -1xy2 + 60y + -6y2 = 144 + -60y + 6y2 + -144 + 60y + -6y2

Reorder the terms:
-144 + -24x + 10xy + -1xy2 + 60y + -6y2 = 144 + -144 + -60y + 60y + 6y2 + -6y2

Combine like terms: 144 + -144 = 0
-144 + -24x + 10xy + -1xy2 + 60y + -6y2 = 0 + -60y + 60y + 6y2 + -6y2
-144 + -24x + 10xy + -1xy2 + 60y + -6y2 = -60y + 60y + 6y2 + -6y2

Combine like terms: -60y + 60y = 0
-144 + -24x + 10xy + -1xy2 + 60y + -6y2 = 0 + 6y2 + -6y2
-144 + -24x + 10xy + -1xy2 + 60y + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-144 + -24x + 10xy + -1xy2 + 60y + -6y2 = 0

The solution to this equation could not be determined.

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