y^2-3y-x+5=0

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Solution for y^2-3y-x+5=0 equation:


Simplifying
y2 + -3y + -1x + 5 = 0

Reorder the terms:
5 + -1x + -3y + y2 = 0

Solving
5 + -1x + -3y + 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 + -1x + -3y + -5 + y2 = 0 + -5

Reorder the terms:
5 + -5 + -1x + -3y + y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x + -3y + y2 = 0 + -5
-1x + -3y + y2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x + -3y + y2 = -5

Add '3y' to each side of the equation.
-1x + -3y + 3y + y2 = -5 + 3y

Combine like terms: -3y + 3y = 0
-1x + 0 + y2 = -5 + 3y
-1x + y2 = -5 + 3y

Add '-1y2' to each side of the equation.
-1x + y2 + -1y2 = -5 + 3y + -1y2

Combine like terms: y2 + -1y2 = 0
-1x + 0 = -5 + 3y + -1y2
-1x = -5 + 3y + -1y2

Divide each side by '-1'.
x = 5 + -3y + y2

Simplifying
x = 5 + -3y + y2

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