7x^2+9.5x+5=0

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Solution for 7x^2+9.5x+5=0 equation:


Simplifying
7x2 + 9.5x + 5 = 0

Reorder the terms:
5 + 9.5x + 7x2 = 0

Solving
5 + 9.5x + 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'.
0.7142857143 + 1.357142857x + x2 = 0

Move the constant term to the right:

Add '-0.7142857143' to each side of the equation.
0.7142857143 + 1.357142857x + -0.7142857143 + x2 = 0 + -0.7142857143

Reorder the terms:
0.7142857143 + -0.7142857143 + 1.357142857x + x2 = 0 + -0.7142857143

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
0.0000000000 + 1.357142857x + x2 = 0 + -0.7142857143
1.357142857x + x2 = 0 + -0.7142857143

Combine like terms: 0 + -0.7142857143 = -0.7142857143
1.357142857x + x2 = -0.7142857143

The x term is 1.357142857x.  Take half its coefficient (0.6785714285).
Square it (0.4604591836) and add it to both sides.

Add '0.4604591836' to each side of the equation.
1.357142857x + 0.4604591836 + x2 = -0.7142857143 + 0.4604591836

Reorder the terms:
0.4604591836 + 1.357142857x + x2 = -0.7142857143 + 0.4604591836

Combine like terms: -0.7142857143 + 0.4604591836 = -0.2538265307
0.4604591836 + 1.357142857x + x2 = -0.2538265307

Factor a perfect square on the left side:
(x + 0.6785714285)(x + 0.6785714285) = -0.2538265307

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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