Y^2+(3h-2)x+(4h-8)x^2=0

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Solution for Y^2+(3h-2)x+(4h-8)x^2=0 equation: 


Simplifying
Y2 + (3h + -2) * x + (4h + -8) * x2 = 0

Reorder the terms:
Y2 + (-2 + 3h) * x + (4h + -8) * x2 = 0

Reorder the terms for easier multiplication:
Y2 + x(-2 + 3h) + (4h + -8) * x2 = 0
Y2 + (-2 * x + 3h * x) + (4h + -8) * x2 = 0

Reorder the terms:
Y2 + (3hx + -2x) + (4h + -8) * x2 = 0
Y2 + (3hx + -2x) + (4h + -8) * x2 = 0

Reorder the terms:
Y2 + 3hx + -2x + (-8 + 4h) * x2 = 0

Reorder the terms for easier multiplication:
Y2 + 3hx + -2x + x2(-8 + 4h) = 0
Y2 + 3hx + -2x + (-8 * x2 + 4h * x2) = 0

Reorder the terms:
Y2 + 3hx + -2x + (4hx2 + -8x2) = 0
Y2 + 3hx + -2x + (4hx2 + -8x2) = 0

Reorder the terms:
Y2 + 3hx + 4hx2 + -2x + -8x2 = 0

Solving
Y2 + 3hx + 4hx2 + -2x + -8x2 = 0

Solving for variable 'Y'.

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

Add '-3hx' to each side of the equation.
Y2 + 3hx + 4hx2 + -2x + -3hx + -8x2 = 0 + -3hx

Reorder the terms:
Y2 + 3hx + -3hx + 4hx2 + -2x + -8x2 = 0 + -3hx

Combine like terms: 3hx + -3hx = 0
Y2 + 0 + 4hx2 + -2x + -8x2 = 0 + -3hx
Y2 + 4hx2 + -2x + -8x2 = 0 + -3hx
Remove the zero:
Y2 + 4hx2 + -2x + -8x2 = -3hx

Add '-4hx2' to each side of the equation.
Y2 + 4hx2 + -2x + -4hx2 + -8x2 = -3hx + -4hx2

Reorder the terms:
Y2 + 4hx2 + -4hx2 + -2x + -8x2 = -3hx + -4hx2

Combine like terms: 4hx2 + -4hx2 = 0
Y2 + 0 + -2x + -8x2 = -3hx + -4hx2
Y2 + -2x + -8x2 = -3hx + -4hx2

Add '2x' to each side of the equation.
Y2 + -2x + 2x + -8x2 = -3hx + -4hx2 + 2x

Combine like terms: -2x + 2x = 0
Y2 + 0 + -8x2 = -3hx + -4hx2 + 2x
Y2 + -8x2 = -3hx + -4hx2 + 2x

Add '8x2' to each side of the equation.
Y2 + -8x2 + 8x2 = -3hx + -4hx2 + 2x + 8x2

Combine like terms: -8x2 + 8x2 = 0
Y2 + 0 = -3hx + -4hx2 + 2x + 8x2
Y2 = -3hx + -4hx2 + 2x + 8x2

Simplifying
Y2 = -3hx + -4hx2 + 2x + 8x2

Reorder the terms:
Y2 + 3hx + 4hx2 + -2x + -8x2 = -3hx + 3hx + -4hx2 + 4hx2 + 2x + -2x + 8x2 + -8x2

Combine like terms: -3hx + 3hx = 0
Y2 + 3hx + 4hx2 + -2x + -8x2 = 0 + -4hx2 + 4hx2 + 2x + -2x + 8x2 + -8x2
Y2 + 3hx + 4hx2 + -2x + -8x2 = -4hx2 + 4hx2 + 2x + -2x + 8x2 + -8x2

Combine like terms: -4hx2 + 4hx2 = 0
Y2 + 3hx + 4hx2 + -2x + -8x2 = 0 + 2x + -2x + 8x2 + -8x2
Y2 + 3hx + 4hx2 + -2x + -8x2 = 2x + -2x + 8x2 + -8x2

Combine like terms: 2x + -2x = 0
Y2 + 3hx + 4hx2 + -2x + -8x2 = 0 + 8x2 + -8x2
Y2 + 3hx + 4hx2 + -2x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
Y2 + 3hx + 4hx2 + -2x + -8x2 = 0

The solution to this equation could not be determined.

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