9x^2+6x+1=-27

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Solution for 9x^2+6x+1=-27 equation:


Simplifying
9x2 + 6x + 1 = -27

Reorder the terms:
1 + 6x + 9x2 = -27

Solving
1 + 6x + 9x2 = -27

Solving for variable 'x'.

Reorder the terms:
1 + 27 + 6x + 9x2 = -27 + 27

Combine like terms: 1 + 27 = 28
28 + 6x + 9x2 = -27 + 27

Combine like terms: -27 + 27 = 0
28 + 6x + 9x2 = 0

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

Divide each side by '9'.
3.111111111 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-3.111111111' to each side of the equation.
3.111111111 + 0.6666666667x + -3.111111111 + x2 = 0 + -3.111111111

Reorder the terms:
3.111111111 + -3.111111111 + 0.6666666667x + x2 = 0 + -3.111111111

Combine like terms: 3.111111111 + -3.111111111 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -3.111111111
0.6666666667x + x2 = 0 + -3.111111111

Combine like terms: 0 + -3.111111111 = -3.111111111
0.6666666667x + x2 = -3.111111111

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 = -3.111111111 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -3.111111111 + 0.1111111112

Combine like terms: -3.111111111 + 0.1111111112 = -2.9999999998
0.1111111112 + 0.6666666667x + x2 = -2.9999999998

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -2.9999999998

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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