y^2+2y-4x-5=0

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


Simplifying
y2 + 2y + -4x + -5 = 0

Reorder the terms:
-5 + -4x + 2y + y2 = 0

Solving
-5 + -4x + 2y + y2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + -4x + 2y + 5 + y2 = 0 + 5

Reorder the terms:
-5 + 5 + -4x + 2y + y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x + 2y + y2 = 0 + 5
-4x + 2y + y2 = 0 + 5

Combine like terms: 0 + 5 = 5
-4x + 2y + y2 = 5

Add '-2y' to each side of the equation.
-4x + 2y + -2y + y2 = 5 + -2y

Combine like terms: 2y + -2y = 0
-4x + 0 + y2 = 5 + -2y
-4x + y2 = 5 + -2y

Add '-1y2' to each side of the equation.
-4x + y2 + -1y2 = 5 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
-4x + 0 = 5 + -2y + -1y2
-4x = 5 + -2y + -1y2

Divide each side by '-4'.
x = -1.25 + 0.5y + 0.25y2

Simplifying
x = -1.25 + 0.5y + 0.25y2

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