7x^2+4x+3=0

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Solution for 7x^2+4x+3=0 equation:


Simplifying
7x2 + 4x + 3 = 0

Reorder the terms:
3 + 4x + 7x2 = 0

Solving
3 + 4x + 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'.
0.4285714286 + 0.5714285714x + x2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + 0.5714285714x + -0.4285714286 + x2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + 0.5714285714x + x2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + 0.5714285714x + x2 = 0 + -0.4285714286
0.5714285714x + x2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
0.5714285714x + x2 = -0.4285714286

The x term is 0.5714285714x.  Take half its coefficient (0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
0.5714285714x + 0.08163265305 + x2 = -0.4285714286 + 0.08163265305

Reorder the terms:
0.08163265305 + 0.5714285714x + x2 = -0.4285714286 + 0.08163265305

Combine like terms: -0.4285714286 + 0.08163265305 = -0.34693877555
0.08163265305 + 0.5714285714x + x2 = -0.34693877555

Factor a perfect square on the left side:
(x + 0.2857142857)(x + 0.2857142857) = -0.34693877555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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