8x^2+7x+35=0

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Solution for 8x^2+7x+35=0 equation:


Simplifying
8x2 + 7x + 35 = 0

Reorder the terms:
35 + 7x + 8x2 = 0

Solving
35 + 7x + 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'.
4.375 + 0.875x + x2 = 0

Move the constant term to the right:

Add '-4.375' to each side of the equation.
4.375 + 0.875x + -4.375 + x2 = 0 + -4.375

Reorder the terms:
4.375 + -4.375 + 0.875x + x2 = 0 + -4.375

Combine like terms: 4.375 + -4.375 = 0.000
0.000 + 0.875x + x2 = 0 + -4.375
0.875x + x2 = 0 + -4.375

Combine like terms: 0 + -4.375 = -4.375
0.875x + x2 = -4.375

The x term is 0.875x.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875x + 0.19140625 + x2 = -4.375 + 0.19140625

Reorder the terms:
0.19140625 + 0.875x + x2 = -4.375 + 0.19140625

Combine like terms: -4.375 + 0.19140625 = -4.18359375
0.19140625 + 0.875x + x2 = -4.18359375

Factor a perfect square on the left side:
(x + 0.4375)(x + 0.4375) = -4.18359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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