8x^2+7x=-5+x

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Solution for 8x^2+7x=-5+x equation:


Simplifying
8x2 + 7x = -5 + x

Reorder the terms:
7x + 8x2 = -5 + x

Solving
7x + 8x2 = -5 + x

Solving for variable 'x'.

Reorder the terms:
5 + 7x + -1x + 8x2 = -5 + x + 5 + -1x

Combine like terms: 7x + -1x = 6x
5 + 6x + 8x2 = -5 + x + 5 + -1x

Reorder the terms:
5 + 6x + 8x2 = -5 + 5 + x + -1x

Combine like terms: -5 + 5 = 0
5 + 6x + 8x2 = 0 + x + -1x
5 + 6x + 8x2 = x + -1x

Combine like terms: x + -1x = 0
5 + 6x + 8x2 = 0

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

Divide each side by '8'.
0.625 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.75x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.75x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.75x + x2 = 0 + -0.625
0.75x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.75x + x2 = -0.625

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -0.625 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -0.625 + 0.140625

Combine like terms: -0.625 + 0.140625 = -0.484375
0.140625 + 0.75x + x2 = -0.484375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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