7x^2+x=-5

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Solution for 7x^2+x=-5 equation:


Simplifying
7x2 + x = -5

Reorder the terms:
x + 7x2 = -5

Solving
x + 7x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + x + 7x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + x + 7x2 = 0

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

Divide each side by '7'.
0.7142857143 + 0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-0.7142857143' to each side of the equation.
0.7142857143 + 0.1428571429x + -0.7142857143 + x2 = 0 + -0.7142857143

Reorder the terms:
0.7142857143 + -0.7142857143 + 0.1428571429x + x2 = 0 + -0.7142857143

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
0.0000000000 + 0.1428571429x + x2 = 0 + -0.7142857143
0.1428571429x + x2 = 0 + -0.7142857143

Combine like terms: 0 + -0.7142857143 = -0.7142857143
0.1428571429x + x2 = -0.7142857143

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.1428571429x + 0.25 + x2 = -0.7142857143 + 0.25

Reorder the terms:
0.25 + 0.1428571429x + x2 = -0.7142857143 + 0.25

Combine like terms: -0.7142857143 + 0.25 = -0.4642857143
0.25 + 0.1428571429x + x2 = -0.4642857143

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.4642857143

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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