5x^2+9x+410=0

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Solution for 5x^2+9x+410=0 equation:


Simplifying
5x2 + 9x + 410 = 0

Reorder the terms:
410 + 9x + 5x2 = 0

Solving
410 + 9x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
82 + 1.8x + x2 = 0

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + 1.8x + -82 + x2 = 0 + -82

Reorder the terms:
82 + -82 + 1.8x + x2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + 1.8x + x2 = 0 + -82
1.8x + x2 = 0 + -82

Combine like terms: 0 + -82 = -82
1.8x + x2 = -82

The x term is 1.8x.  Take half its coefficient (0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
1.8x + 0.81 + x2 = -82 + 0.81

Reorder the terms:
0.81 + 1.8x + x2 = -82 + 0.81

Combine like terms: -82 + 0.81 = -81.19
0.81 + 1.8x + x2 = -81.19

Factor a perfect square on the left side:
(x + 0.9)(x + 0.9) = -81.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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