8x^2+2x=-3

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Solution for 8x^2+2x=-3 equation:


Simplifying
8x2 + 2x = -3

Reorder the terms:
2x + 8x2 = -3

Solving
2x + 8x2 = -3

Solving for variable 'x'.

Reorder the terms:
3 + 2x + 8x2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 2x + 8x2 = 0

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

Divide each side by '8'.
0.375 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 0.25x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 0.25x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 0.25x + x2 = 0 + -0.375
0.25x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
0.25x + x2 = -0.375

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.375 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.375 + 0.015625

Combine like terms: -0.375 + 0.015625 = -0.359375
0.015625 + 0.25x + x2 = -0.359375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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