7x^2+3x+8=0

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Solution for 7x^2+3x+8=0 equation:


Simplifying
7x2 + 3x + 8 = 0

Reorder the terms:
8 + 3x + 7x2 = 0

Solving
8 + 3x + 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'.
1.142857143 + 0.4285714286x + x2 = 0

Move the constant term to the right:

Add '-1.142857143' to each side of the equation.
1.142857143 + 0.4285714286x + -1.142857143 + x2 = 0 + -1.142857143

Reorder the terms:
1.142857143 + -1.142857143 + 0.4285714286x + x2 = 0 + -1.142857143

Combine like terms: 1.142857143 + -1.142857143 = 0.000000000
0.000000000 + 0.4285714286x + x2 = 0 + -1.142857143
0.4285714286x + x2 = 0 + -1.142857143

Combine like terms: 0 + -1.142857143 = -1.142857143
0.4285714286x + x2 = -1.142857143

The x term is 0.4285714286x.  Take half its coefficient (0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
0.4285714286x + 0.04591836735 + x2 = -1.142857143 + 0.04591836735

Reorder the terms:
0.04591836735 + 0.4285714286x + x2 = -1.142857143 + 0.04591836735

Combine like terms: -1.142857143 + 0.04591836735 = -1.09693877565
0.04591836735 + 0.4285714286x + x2 = -1.09693877565

Factor a perfect square on the left side:
(x + 0.2142857143)(x + 0.2142857143) = -1.09693877565

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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