7x^2=-2x-6

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Solution for 7x^2=-2x-6 equation:


Simplifying
7x2 = -2x + -6

Reorder the terms:
7x2 = -6 + -2x

Solving
7x2 = -6 + -2x

Solving for variable 'x'.

Reorder the terms:
6 + 2x + 7x2 = -6 + -2x + 6 + 2x

Reorder the terms:
6 + 2x + 7x2 = -6 + 6 + -2x + 2x

Combine like terms: -6 + 6 = 0
6 + 2x + 7x2 = 0 + -2x + 2x
6 + 2x + 7x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 2x + 7x2 = 0

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

Divide each side by '7'.
0.8571428571 + 0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + 0.2857142857x + -0.8571428571 + x2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + 0.2857142857x + x2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + 0.2857142857x + x2 = 0 + -0.8571428571
0.2857142857x + x2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
0.2857142857x + x2 = -0.8571428571

The x term is 0.2857142857x.  Take half its coefficient (0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
0.2857142857x + 0.02040816328 + x2 = -0.8571428571 + 0.02040816328

Reorder the terms:
0.02040816328 + 0.2857142857x + x2 = -0.8571428571 + 0.02040816328

Combine like terms: -0.8571428571 + 0.02040816328 = -0.83673469382
0.02040816328 + 0.2857142857x + x2 = -0.83673469382

Factor a perfect square on the left side:
(x + 0.1428571429)(x + 0.1428571429) = -0.83673469382

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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