8x^2+11x+5=0

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Solution for 8x^2+11x+5=0 equation:


Simplifying
8x2 + 11x + 5 = 0

Reorder the terms:
5 + 11x + 8x2 = 0

Solving
5 + 11x + 8x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
0.625 + 1.375x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 1.375x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 1.375x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 1.375x + x2 = 0 + -0.625
1.375x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
1.375x + x2 = -0.625

The x term is 1.375x.  Take half its coefficient (0.6875).
Square it (0.47265625) and add it to both sides.

Add '0.47265625' to each side of the equation.
1.375x + 0.47265625 + x2 = -0.625 + 0.47265625

Reorder the terms:
0.47265625 + 1.375x + x2 = -0.625 + 0.47265625

Combine like terms: -0.625 + 0.47265625 = -0.15234375
0.47265625 + 1.375x + x2 = -0.15234375

Factor a perfect square on the left side:
(x + 0.6875)(x + 0.6875) = -0.15234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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