2x^2+17x+130=0

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Solution for 2x^2+17x+130=0 equation:


Simplifying
2x2 + 17x + 130 = 0

Reorder the terms:
130 + 17x + 2x2 = 0

Solving
130 + 17x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
65 + 8.5x + x2 = 0

Move the constant term to the right:

Add '-65' to each side of the equation.
65 + 8.5x + -65 + x2 = 0 + -65

Reorder the terms:
65 + -65 + 8.5x + x2 = 0 + -65

Combine like terms: 65 + -65 = 0
0 + 8.5x + x2 = 0 + -65
8.5x + x2 = 0 + -65

Combine like terms: 0 + -65 = -65
8.5x + x2 = -65

The x term is 8.5x.  Take half its coefficient (4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
8.5x + 18.0625 + x2 = -65 + 18.0625

Reorder the terms:
18.0625 + 8.5x + x2 = -65 + 18.0625

Combine like terms: -65 + 18.0625 = -46.9375
18.0625 + 8.5x + x2 = -46.9375

Factor a perfect square on the left side:
(x + 4.25)(x + 4.25) = -46.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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