8x^2=-11x-7

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Solution for 8x^2=-11x-7 equation:


Simplifying
8x2 = -11x + -7

Reorder the terms:
8x2 = -7 + -11x

Solving
8x2 = -7 + -11x

Solving for variable 'x'.

Reorder the terms:
7 + 11x + 8x2 = -7 + -11x + 7 + 11x

Reorder the terms:
7 + 11x + 8x2 = -7 + 7 + -11x + 11x

Combine like terms: -7 + 7 = 0
7 + 11x + 8x2 = 0 + -11x + 11x
7 + 11x + 8x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
7 + 11x + 8x2 = 0

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

Divide each side by '8'.
0.875 + 1.375x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + 1.375x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + 1.375x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + 1.375x + x2 = 0 + -0.875
1.375x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
1.375x + x2 = -0.875

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 = -0.875 + 0.47265625

Reorder the terms:
0.47265625 + 1.375x + x2 = -0.875 + 0.47265625

Combine like terms: -0.875 + 0.47265625 = -0.40234375
0.47265625 + 1.375x + x2 = -0.40234375

Factor a perfect square on the left side:
(x + 0.6875)(x + 0.6875) = -0.40234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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