y^2+4x-10y+17=0

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Solution for y^2+4x-10y+17=0 equation:


Simplifying
y2 + 4x + -10y + 17 = 0

Reorder the terms:
17 + 4x + -10y + y2 = 0

Solving
17 + 4x + -10y + y2 = 0

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + 4x + -10y + -17 + y2 = 0 + -17

Reorder the terms:
17 + -17 + 4x + -10y + y2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 4x + -10y + y2 = 0 + -17
4x + -10y + y2 = 0 + -17

Combine like terms: 0 + -17 = -17
4x + -10y + y2 = -17

Add '10y' to each side of the equation.
4x + -10y + 10y + y2 = -17 + 10y

Combine like terms: -10y + 10y = 0
4x + 0 + y2 = -17 + 10y
4x + y2 = -17 + 10y

Add '-1y2' to each side of the equation.
4x + y2 + -1y2 = -17 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
4x + 0 = -17 + 10y + -1y2
4x = -17 + 10y + -1y2

Divide each side by '4'.
x = -4.25 + 2.5y + -0.25y2

Simplifying
x = -4.25 + 2.5y + -0.25y2

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