(-3x^2+4x-1)+(-9x^2+6x-3)-(-9x^2+8x+6)=

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Solution for (-3x^2+4x-1)+(-9x^2+6x-3)-(-9x^2+8x+6)= equation:


Simplifying
(-3x2 + 4x + -1) + (-9x2 + 6x + -3) + -1(-9x2 + 8x + 6) = 0

Reorder the terms:
(-1 + 4x + -3x2) + (-9x2 + 6x + -3) + -1(-9x2 + 8x + 6) = 0

Remove parenthesis around (-1 + 4x + -3x2)
-1 + 4x + -3x2 + (-9x2 + 6x + -3) + -1(-9x2 + 8x + 6) = 0

Reorder the terms:
-1 + 4x + -3x2 + (-3 + 6x + -9x2) + -1(-9x2 + 8x + 6) = 0

Remove parenthesis around (-3 + 6x + -9x2)
-1 + 4x + -3x2 + -3 + 6x + -9x2 + -1(-9x2 + 8x + 6) = 0

Reorder the terms:
-1 + 4x + -3x2 + -3 + 6x + -9x2 + -1(6 + 8x + -9x2) = 0
-1 + 4x + -3x2 + -3 + 6x + -9x2 + (6 * -1 + 8x * -1 + -9x2 * -1) = 0
-1 + 4x + -3x2 + -3 + 6x + -9x2 + (-6 + -8x + 9x2) = 0

Reorder the terms:
-1 + -3 + -6 + 4x + 6x + -8x + -3x2 + -9x2 + 9x2 = 0

Combine like terms: -1 + -3 = -4
-4 + -6 + 4x + 6x + -8x + -3x2 + -9x2 + 9x2 = 0

Combine like terms: -4 + -6 = -10
-10 + 4x + 6x + -8x + -3x2 + -9x2 + 9x2 = 0

Combine like terms: 4x + 6x = 10x
-10 + 10x + -8x + -3x2 + -9x2 + 9x2 = 0

Combine like terms: 10x + -8x = 2x
-10 + 2x + -3x2 + -9x2 + 9x2 = 0

Combine like terms: -3x2 + -9x2 = -12x2
-10 + 2x + -12x2 + 9x2 = 0

Combine like terms: -12x2 + 9x2 = -3x2
-10 + 2x + -3x2 = 0

Solving
-10 + 2x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3.333333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -0.6666666667x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -0.6666666667x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -3.333333333
-0.6666666667x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-0.6666666667x + x2 = -3.333333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -3.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -3.333333333 + 0.1111111112

Combine like terms: -3.333333333 + 0.1111111112 = -3.2222222218
0.1111111112 + -0.6666666667x + x2 = -3.2222222218

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -3.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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