8x^2+9x+10=0

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Solution for 8x^2+9x+10=0 equation:


Simplifying
8x2 + 9x + 10 = 0

Reorder the terms:
10 + 9x + 8x2 = 0

Solving
10 + 9x + 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'.
1.25 + 1.125x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 1.125x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 1.125x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 1.125x + x2 = 0 + -1.25
1.125x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
1.125x + x2 = -1.25

The x term is 1.125x.  Take half its coefficient (0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
1.125x + 0.31640625 + x2 = -1.25 + 0.31640625

Reorder the terms:
0.31640625 + 1.125x + x2 = -1.25 + 0.31640625

Combine like terms: -1.25 + 0.31640625 = -0.93359375
0.31640625 + 1.125x + x2 = -0.93359375

Factor a perfect square on the left side:
(x + 0.5625)(x + 0.5625) = -0.93359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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