-17x^2-4x-20=0

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Solution for -17x^2-4x-20=0 equation: 


Simplifying
-17x2 + -4x + -20 = 0

Reorder the terms:
-20 + -4x + -17x2 = 0

Solving
-20 + -4x + -17x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 4x + 17x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(20 + 4x + 17x2)' equal to zero and attempt to solve:

Simplifying
20 + 4x + 17x2 = 0

Solving
20 + 4x + 17x2 = 0

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

Divide each side by '17'.
1.176470588 + 0.2352941176x + x2 = 0

Move the constant term to the right:

Add '-1.176470588' to each side of the equation.
1.176470588 + 0.2352941176x + -1.176470588 + x2 = 0 + -1.176470588

Reorder the terms:
1.176470588 + -1.176470588 + 0.2352941176x + x2 = 0 + -1.176470588

Combine like terms: 1.176470588 + -1.176470588 = 0.000000000
0.000000000 + 0.2352941176x + x2 = 0 + -1.176470588
0.2352941176x + x2 = 0 + -1.176470588

Combine like terms: 0 + -1.176470588 = -1.176470588
0.2352941176x + x2 = -1.176470588

The x term is 0.2352941176x.  Take half its coefficient (0.1176470588).
Square it (0.01384083044) and add it to both sides.

Add '0.01384083044' to each side of the equation.
0.2352941176x + 0.01384083044 + x2 = -1.176470588 + 0.01384083044

Reorder the terms:
0.01384083044 + 0.2352941176x + x2 = -1.176470588 + 0.01384083044

Combine like terms: -1.176470588 + 0.01384083044 = -1.16262975756
0.01384083044 + 0.2352941176x + x2 = -1.16262975756

Factor a perfect square on the left side:
(x + 0.1176470588)(x + 0.1176470588) = -1.16262975756

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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