y^2-4y-2x-10=0

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Solution for y^2-4y-2x-10=0 equation:


Simplifying
y2 + -4y + -2x + -10 = 0

Reorder the terms:
-10 + -2x + -4y + y2 = 0

Solving
-10 + -2x + -4y + y2 = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + -2x + -4y + 10 + y2 = 0 + 10

Reorder the terms:
-10 + 10 + -2x + -4y + y2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -2x + -4y + y2 = 0 + 10
-2x + -4y + y2 = 0 + 10

Combine like terms: 0 + 10 = 10
-2x + -4y + y2 = 10

Add '4y' to each side of the equation.
-2x + -4y + 4y + y2 = 10 + 4y

Combine like terms: -4y + 4y = 0
-2x + 0 + y2 = 10 + 4y
-2x + y2 = 10 + 4y

Add '-1y2' to each side of the equation.
-2x + y2 + -1y2 = 10 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
-2x + 0 = 10 + 4y + -1y2
-2x = 10 + 4y + -1y2

Divide each side by '-2'.
x = -5 + -2y + 0.5y2

Simplifying
x = -5 + -2y + 0.5y2

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