13x+6x^2=-9

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Solution for 13x+6x^2=-9 equation:


Simplifying
13x + 6x2 = -9

Solving
13x + 6x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 13x + 6x2 = -9 + 9

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

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

Divide each side by '6'.
1.5 + 2.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 2.166666667x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 2.166666667x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2.166666667x + x2 = 0 + -1.5
2.166666667x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
2.166666667x + x2 = -1.5

The x term is 2.166666667x.  Take half its coefficient (1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
2.166666667x + 1.173611113 + x2 = -1.5 + 1.173611113

Reorder the terms:
1.173611113 + 2.166666667x + x2 = -1.5 + 1.173611113

Combine like terms: -1.5 + 1.173611113 = -0.326388887
1.173611113 + 2.166666667x + x2 = -0.326388887

Factor a perfect square on the left side:
(x + 1.083333334)(x + 1.083333334) = -0.326388887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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