y^2-10y-4x+33=0

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Solution for y^2-10y-4x+33=0 equation:


Simplifying
y2 + -10y + -4x + 33 = 0

Reorder the terms:
33 + -4x + -10y + y2 = 0

Solving
33 + -4x + -10y + y2 = 0

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -4x + -10y + -33 + y2 = 0 + -33

Reorder the terms:
33 + -33 + -4x + -10y + y2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -4x + -10y + y2 = 0 + -33
-4x + -10y + y2 = 0 + -33

Combine like terms: 0 + -33 = -33
-4x + -10y + y2 = -33

Add '10y' to each side of the equation.
-4x + -10y + 10y + y2 = -33 + 10y

Combine like terms: -10y + 10y = 0
-4x + 0 + y2 = -33 + 10y
-4x + y2 = -33 + 10y

Add '-1y2' to each side of the equation.
-4x + y2 + -1y2 = -33 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
-4x + 0 = -33 + 10y + -1y2
-4x = -33 + 10y + -1y2

Divide each side by '-4'.
x = 8.25 + -2.5y + 0.25y2

Simplifying
x = 8.25 + -2.5y + 0.25y2

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