y^2+4xy-7x-5z=0

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Solution for y^2+4xy-7x-5z=0 equation: 


Simplifying
y2 + 4xy + -7x + -5z = 0

Reorder the terms:
-7x + 4xy + y2 + -5z = 0

Solving
-7x + 4xy + y2 + -5z = 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.
-7x + 4xy + y2 + -1y2 + -5z = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-7x + 4xy + 0 + -5z = 0 + -1y2
-7x + 4xy + -5z = 0 + -1y2
Remove the zero:
-7x + 4xy + -5z = -1y2

Add '5z' to each side of the equation.
-7x + 4xy + -5z + 5z = -1y2 + 5z

Combine like terms: -5z + 5z = 0
-7x + 4xy + 0 = -1y2 + 5z
-7x + 4xy = -1y2 + 5z

Reorder the terms:
-7x + 4xy + y2 + -5z = -1y2 + y2 + 5z + -5z

Combine like terms: -1y2 + y2 = 0
-7x + 4xy + y2 + -5z = 0 + 5z + -5z
-7x + 4xy + y2 + -5z = 5z + -5z

Combine like terms: 5z + -5z = 0
-7x + 4xy + y2 + -5z = 0

The solution to this equation could not be determined.

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