-6x-2=(3x*3x+1)

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Solution for -6x-2=(3x*3x+1) equation: 


Simplifying
-6x + -2 = (3x * 3x + 1)

Reorder the terms:
-2 + -6x = (3x * 3x + 1)

Reorder the terms for easier multiplication:
-2 + -6x = (3 * 3x * x + 1)

Multiply 3 * 3
-2 + -6x = (9x * x + 1)

Multiply x * x
-2 + -6x = (9x2 + 1)

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

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

Solving
-2 + -6x = 1 + 9x2

Solving for variable 'x'.

Reorder the terms:
-2 + -1 + -6x + -9x2 = 1 + 9x2 + -1 + -9x2

Combine like terms: -2 + -1 = -3
-3 + -6x + -9x2 = 1 + 9x2 + -1 + -9x2

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

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

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

Factor out the Greatest Common Factor (GCF), '-3'.
-3(1 + 2x + 3x2) = 0

Ignore the factor -3.

Subproblem 1
Set the factor '(1 + 2x + 3x2)' equal to zero and attempt to solve:

Simplifying
1 + 2x + 3x2 = 0

Solving
1 + 2x + 3x2 = 0

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

Divide each side by '3'.
0.3333333333 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.6666666667x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.6666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.6666666667x + x2 = 0 + -0.3333333333
0.6666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.6666666667x + x2 = -0.3333333333

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 = -0.3333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -0.3333333333 + 0.1111111112

Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221
0.1111111112 + 0.6666666667x + x2 = -0.2222222221

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.2222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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