y^2-5y+3x=0

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


Simplifying
y2 + -5y + 3x = 0

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

Solving
3x + -5y + y2 = 0

Solving for variable 'x'.

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

Add '5y' to each side of the equation.
3x + -5y + 5y + y2 = 0 + 5y

Combine like terms: -5y + 5y = 0
3x + 0 + y2 = 0 + 5y
3x + y2 = 0 + 5y
Remove the zero:
3x + y2 = 5y

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

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

Divide each side by '3'.
x = 1.666666667y + -0.3333333333y2

Simplifying
x = 1.666666667y + -0.3333333333y2

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