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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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