8x^2+25x+282=0

Solution for 8x^2+25x+282=0 equation:

Simplifying
8x2 + 25x + 282 = 0

Reorder the terms:
282 + 25x + 8x2 = 0

Solving
282 + 25x + 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'.
35.25 + 3.125x + x2 = 0

Move the constant term to the right:

Add '-35.25' to each side of the equation.
35.25 + 3.125x + -35.25 + x2 = 0 + -35.25

Reorder the terms:
35.25 + -35.25 + 3.125x + x2 = 0 + -35.25

Combine like terms: 35.25 + -35.25 = 0.00
0.00 + 3.125x + x2 = 0 + -35.25
3.125x + x2 = 0 + -35.25

Combine like terms: 0 + -35.25 = -35.25
3.125x + x2 = -35.25

The x term is 3.125x.  Take half its coefficient (1.5625).
Square it (2.44140625) and add it to both sides.

Add '2.44140625' to each side of the equation.
3.125x + 2.44140625 + x2 = -35.25 + 2.44140625

Reorder the terms:
2.44140625 + 3.125x + x2 = -35.25 + 2.44140625

Combine like terms: -35.25 + 2.44140625 = -32.80859375
2.44140625 + 3.125x + x2 = -32.80859375

Factor a perfect square on the left side:
(x + 1.5625)(x + 1.5625) = -32.80859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.