7x^2+13x+14=0

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Solution for 7x^2+13x+14=0 equation:


Simplifying
7x2 + 13x + 14 = 0

Reorder the terms:
14 + 13x + 7x2 = 0

Solving
14 + 13x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
2 + 1.857142857x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1.857142857x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 1.857142857x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.857142857x + x2 = 0 + -2
1.857142857x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
1.857142857x + x2 = -2

The x term is 1.857142857x.  Take half its coefficient (0.9285714285).
Square it (0.8622448978) and add it to both sides.

Add '0.8622448978' to each side of the equation.
1.857142857x + 0.8622448978 + x2 = -2 + 0.8622448978

Reorder the terms:
0.8622448978 + 1.857142857x + x2 = -2 + 0.8622448978

Combine like terms: -2 + 0.8622448978 = -1.1377551022
0.8622448978 + 1.857142857x + x2 = -1.1377551022

Factor a perfect square on the left side:
(x + 0.9285714285)(x + 0.9285714285) = -1.1377551022

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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