8x^2+17x+24=0

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Solution for 8x^2+17x+24=0 equation:


Simplifying
8x2 + 17x + 24 = 0

Reorder the terms:
24 + 17x + 8x2 = 0

Solving
24 + 17x + 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'.
3 + 2.125x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2.125x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 2.125x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2.125x + x2 = 0 + -3
2.125x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
2.125x + x2 = -3

The x term is 2.125x.  Take half its coefficient (1.0625).
Square it (1.12890625) and add it to both sides.

Add '1.12890625' to each side of the equation.
2.125x + 1.12890625 + x2 = -3 + 1.12890625

Reorder the terms:
1.12890625 + 2.125x + x2 = -3 + 1.12890625

Combine like terms: -3 + 1.12890625 = -1.87109375
1.12890625 + 2.125x + x2 = -1.87109375

Factor a perfect square on the left side:
(x + 1.0625)(x + 1.0625) = -1.87109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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