(y^2)+3yx-8x-4z=0

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Solution for (y^2)+3yx-8x-4z=0 equation:


Simplifying
(y2) + 3yx + -8x + -4z = 0
y2 + 3yx + -8x + -4z = 0

Reorder the terms:
-8x + 3xy + y2 + -4z = 0

Solving
-8x + 3xy + y2 + -4z = 0

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
-8x + 3xy + y2 + -1y2 + -4z = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-8x + 3xy + 0 + -4z = 0 + -1y2
-8x + 3xy + -4z = 0 + -1y2
Remove the zero:
-8x + 3xy + -4z = -1y2

Add '4z' to each side of the equation.
-8x + 3xy + -4z + 4z = -1y2 + 4z

Combine like terms: -4z + 4z = 0
-8x + 3xy + 0 = -1y2 + 4z
-8x + 3xy = -1y2 + 4z

Reorder the terms:
-8x + 3xy + y2 + -4z = -1y2 + y2 + 4z + -4z

Combine like terms: -1y2 + y2 = 0
-8x + 3xy + y2 + -4z = 0 + 4z + -4z
-8x + 3xy + y2 + -4z = 4z + -4z

Combine like terms: 4z + -4z = 0
-8x + 3xy + y2 + -4z = 0

The solution to this equation could not be determined.

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