3*x^2+7*x+13=-0.1

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Solution for 3*x^2+7*x+13=-0.1 equation: 


Simplifying
3x2 + 7x + 13 = -0.1

Reorder the terms:
13 + 7x + 3x2 = -0.1

Solving
13 + 7x + 3x2 = -0.1

Solving for variable 'x'.

Reorder the terms:
13 + 0.1 + 7x + 3x2 = -0.1 + 0.1

Combine like terms: 13 + 0.1 = 13.1
13.1 + 7x + 3x2 = -0.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
13.1 + 7x + 3x2 = 0.0

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

Divide each side by '3'.
4.366666667 + 2.333333333x + x2 = 0.0

Move the constant term to the right:

Add '-4.366666667' to each side of the equation.
4.366666667 + 2.333333333x + -4.366666667 + x2 = 0.0 + -4.366666667

Reorder the terms:
4.366666667 + -4.366666667 + 2.333333333x + x2 = 0.0 + -4.366666667

Combine like terms: 4.366666667 + -4.366666667 = 0.000000000
0.000000000 + 2.333333333x + x2 = 0.0 + -4.366666667
2.333333333x + x2 = 0.0 + -4.366666667

Combine like terms: 0.0 + -4.366666667 = -4.366666667
2.333333333x + x2 = -4.366666667

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = -4.366666667 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = -4.366666667 + 1.361111112

Combine like terms: -4.366666667 + 1.361111112 = -3.005555555
1.361111112 + 2.333333333x + x2 = -3.005555555

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = -3.005555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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