14+15x+7x^2=0

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Solution for 14+15x+7x^2=0 equation:


Simplifying
14 + 15x + 7x2 = 0

Solving
14 + 15x + 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 + 2.142857143x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2.142857143x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 2.142857143x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2.142857143x + x2 = 0 + -2
2.142857143x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
2.142857143x + x2 = -2

The x term is 2.142857143x.  Take half its coefficient (1.071428572).
Square it (1.147959185) and add it to both sides.

Add '1.147959185' to each side of the equation.
2.142857143x + 1.147959185 + x2 = -2 + 1.147959185

Reorder the terms:
1.147959185 + 2.142857143x + x2 = -2 + 1.147959185

Combine like terms: -2 + 1.147959185 = -0.852040815
1.147959185 + 2.142857143x + x2 = -0.852040815

Factor a perfect square on the left side:
(x + 1.071428572)(x + 1.071428572) = -0.852040815

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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