9y^2=x(x^2-6x+9)

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Solution for 9y^2=x(x^2-6x+9) equation:


Simplifying
9y2 = x(x2 + -6x + 9)

Reorder the terms:
9y2 = x(9 + -6x + x2)
9y2 = (9 * x + -6x * x + x2 * x)
9y2 = (9x + -6x2 + x3)

Solving
9y2 = 9x + -6x2 + x3

Solving for variable 'y'.

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

Divide each side by '9'.
y2 = x + -0.6666666667x2 + 0.1111111111x3

Simplifying
y2 = x + -0.6666666667x2 + 0.1111111111x3

Reorder the terms:
-1x + 0.6666666667x2 + -0.1111111111x3 + y2 = x + -0.6666666667x2 + 0.1111111111x3 + -1x + 0.6666666667x2 + -0.1111111111x3

Reorder the terms:
-1x + 0.6666666667x2 + -0.1111111111x3 + y2 = x + -1x + -0.6666666667x2 + 0.6666666667x2 + 0.1111111111x3 + -0.1111111111x3

Combine like terms: x + -1x = 0
-1x + 0.6666666667x2 + -0.1111111111x3 + y2 = 0 + -0.6666666667x2 + 0.6666666667x2 + 0.1111111111x3 + -0.1111111111x3
-1x + 0.6666666667x2 + -0.1111111111x3 + y2 = -0.6666666667x2 + 0.6666666667x2 + 0.1111111111x3 + -0.1111111111x3

Combine like terms: -0.6666666667x2 + 0.6666666667x2 = 0.0000000000
-1x + 0.6666666667x2 + -0.1111111111x3 + y2 = 0.0000000000 + 0.1111111111x3 + -0.1111111111x3
-1x + 0.6666666667x2 + -0.1111111111x3 + y2 = 0.1111111111x3 + -0.1111111111x3

Combine like terms: 0.1111111111x3 + -0.1111111111x3 = 0.0000000000
-1x + 0.6666666667x2 + -0.1111111111x3 + y2 = 0.0000000000

The solution to this equation could not be determined.

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