8xy-7x^2-y^2=0

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Solution for 8xy-7x^2-y^2=0 equation: 


Simplifying
8xy + -7x2 + -1y2 = 0

Solving
8xy + -7x2 + -1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7x + y)(x + -1y) = 0


Subproblem 1
Set the factor '(-7x + y)' equal to zero and attempt to solve:

Simplifying
-7x + y = 0

Solving
-7x + y = 0

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

Add '-1y' to each side of the equation.
-7x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-7x + 0 = 0 + -1y
-7x = 0 + -1y
Remove the zero:
-7x = -1y

Divide each side by '-7'.
x = 0.1428571429y

Simplifying
x = 0.1428571429y

Subproblem 2
Set the factor '(x + -1y)' equal to zero and attempt to solve:

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

Add 'y' to each side of the equation.
x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
x + 0 = 0 + y
x = 0 + y
Remove the zero:
x = y

Simplifying
x = y
Solution
x = {0.1428571429y, y}

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