(9x^2-4x+9)+(8x^2-2x+4)-(6x^2+4)=0

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Solution for (9x^2-4x+9)+(8x^2-2x+4)-(6x^2+4)=0 equation:


Simplifying
(9x2 + -4x + 9) + (8x2 + -2x + 4) + -1(6x2 + 4) = 0

Reorder the terms:
(9 + -4x + 9x2) + (8x2 + -2x + 4) + -1(6x2 + 4) = 0

Remove parenthesis around (9 + -4x + 9x2)
9 + -4x + 9x2 + (8x2 + -2x + 4) + -1(6x2 + 4) = 0

Reorder the terms:
9 + -4x + 9x2 + (4 + -2x + 8x2) + -1(6x2 + 4) = 0

Remove parenthesis around (4 + -2x + 8x2)
9 + -4x + 9x2 + 4 + -2x + 8x2 + -1(6x2 + 4) = 0

Reorder the terms:
9 + -4x + 9x2 + 4 + -2x + 8x2 + -1(4 + 6x2) = 0
9 + -4x + 9x2 + 4 + -2x + 8x2 + (4 * -1 + 6x2 * -1) = 0
9 + -4x + 9x2 + 4 + -2x + 8x2 + (-4 + -6x2) = 0

Reorder the terms:
9 + 4 + -4 + -4x + -2x + 9x2 + 8x2 + -6x2 = 0

Combine like terms: 9 + 4 = 13
13 + -4 + -4x + -2x + 9x2 + 8x2 + -6x2 = 0

Combine like terms: 13 + -4 = 9
9 + -4x + -2x + 9x2 + 8x2 + -6x2 = 0

Combine like terms: -4x + -2x = -6x
9 + -6x + 9x2 + 8x2 + -6x2 = 0

Combine like terms: 9x2 + 8x2 = 17x2
9 + -6x + 17x2 + -6x2 = 0

Combine like terms: 17x2 + -6x2 = 11x2
9 + -6x + 11x2 = 0

Solving
9 + -6x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
0.8181818182 + -0.5454545455x + x2 = 0

Move the constant term to the right:

Add '-0.8181818182' to each side of the equation.
0.8181818182 + -0.5454545455x + -0.8181818182 + x2 = 0 + -0.8181818182

Reorder the terms:
0.8181818182 + -0.8181818182 + -0.5454545455x + x2 = 0 + -0.8181818182

Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000
0.0000000000 + -0.5454545455x + x2 = 0 + -0.8181818182
-0.5454545455x + x2 = 0 + -0.8181818182

Combine like terms: 0 + -0.8181818182 = -0.8181818182
-0.5454545455x + x2 = -0.8181818182

The x term is -0.5454545455x.  Take half its coefficient (-0.2727272728).
Square it (0.07438016533) and add it to both sides.

Add '0.07438016533' to each side of the equation.
-0.5454545455x + 0.07438016533 + x2 = -0.8181818182 + 0.07438016533

Reorder the terms:
0.07438016533 + -0.5454545455x + x2 = -0.8181818182 + 0.07438016533

Combine like terms: -0.8181818182 + 0.07438016533 = -0.74380165287
0.07438016533 + -0.5454545455x + x2 = -0.74380165287

Factor a perfect square on the left side:
(x + -0.2727272728)(x + -0.2727272728) = -0.74380165287

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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