y^2-6y+8x+9=0

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Solution for y^2-6y+8x+9=0 equation: 


Simplifying
y2 + -6y + 8x + 9 = 0

Reorder the terms:
9 + 8x + -6y + y2 = 0

Solving
9 + 8x + -6y + y2 = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + 8x + -6y + -9 + y2 = 0 + -9

Reorder the terms:
9 + -9 + 8x + -6y + y2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8x + -6y + y2 = 0 + -9
8x + -6y + y2 = 0 + -9

Combine like terms: 0 + -9 = -9
8x + -6y + y2 = -9

Add '6y' to each side of the equation.
8x + -6y + 6y + y2 = -9 + 6y

Combine like terms: -6y + 6y = 0
8x + 0 + y2 = -9 + 6y
8x + y2 = -9 + 6y

Add '-1y2' to each side of the equation.
8x + y2 + -1y2 = -9 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
8x + 0 = -9 + 6y + -1y2
8x = -9 + 6y + -1y2

Divide each side by '8'.
x = -1.125 + 0.75y + -0.125y2

Simplifying
x = -1.125 + 0.75y + -0.125y2

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