x=3-4x+9x^2

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Solution for x=3-4x+9x^2 equation: 


Simplifying
x = 3 + -4x + 9x2

Solving
x = 3 + -4x + 9x2

Solving for variable 'x'.

Reorder the terms:
-3 + x + 4x + -9x2 = 3 + -4x + 9x2 + -3 + 4x + -9x2

Combine like terms: x + 4x = 5x
-3 + 5x + -9x2 = 3 + -4x + 9x2 + -3 + 4x + -9x2

Reorder the terms:
-3 + 5x + -9x2 = 3 + -3 + -4x + 4x + 9x2 + -9x2

Combine like terms: 3 + -3 = 0
-3 + 5x + -9x2 = 0 + -4x + 4x + 9x2 + -9x2
-3 + 5x + -9x2 = -4x + 4x + 9x2 + -9x2

Combine like terms: -4x + 4x = 0
-3 + 5x + -9x2 = 0 + 9x2 + -9x2
-3 + 5x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-3 + 5x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.3333333333 + -0.5555555556x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.5555555556x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.5555555556x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.5555555556x + x2 = 0 + -0.3333333333
-0.5555555556x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.5555555556x + x2 = -0.3333333333

The x term is -0.5555555556x.  Take half its coefficient (-0.2777777778).
Square it (0.07716049384) and add it to both sides.

Add '0.07716049384' to each side of the equation.
-0.5555555556x + 0.07716049384 + x2 = -0.3333333333 + 0.07716049384

Reorder the terms:
0.07716049384 + -0.5555555556x + x2 = -0.3333333333 + 0.07716049384

Combine like terms: -0.3333333333 + 0.07716049384 = -0.25617283946
0.07716049384 + -0.5555555556x + x2 = -0.25617283946

Factor a perfect square on the left side:
(x + -0.2777777778)(x + -0.2777777778) = -0.25617283946

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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