x+5-y^2-y=5

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


Simplifying
x + 5 + -1y2 + -1y = 5

Reorder the terms:
5 + x + -1y + -1y2 = 5

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

Reorder the terms:
5 + -5 + x + -1y + -1y2 = 5 + -5

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

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

Solving
x + -1y + -1y2 = 0

Solving for variable 'x'.

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 + -1y2 = 0 + y

Combine like terms: -1y + y = 0
x + 0 + -1y2 = 0 + y
x + -1y2 = 0 + y
Remove the zero:
x + -1y2 = y

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

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

Simplifying
x = y + y2

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