7x^2+10x+4=0

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Solution for 7x^2+10x+4=0 equation:


Simplifying
7x2 + 10x + 4 = 0

Reorder the terms:
4 + 10x + 7x2 = 0

Solving
4 + 10x + 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'.
0.5714285714 + 1.428571429x + x2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + 1.428571429x + -0.5714285714 + x2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + 1.428571429x + x2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + 1.428571429x + x2 = 0 + -0.5714285714
1.428571429x + x2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
1.428571429x + x2 = -0.5714285714

The x term is 1.428571429x.  Take half its coefficient (0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
1.428571429x + 0.5102040819 + x2 = -0.5714285714 + 0.5102040819

Reorder the terms:
0.5102040819 + 1.428571429x + x2 = -0.5714285714 + 0.5102040819

Combine like terms: -0.5714285714 + 0.5102040819 = -0.0612244895
0.5102040819 + 1.428571429x + x2 = -0.0612244895

Factor a perfect square on the left side:
(x + 0.7142857145)(x + 0.7142857145) = -0.0612244895

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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