17x^2+36x+60=0

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Solution for 17x^2+36x+60=0 equation:


Simplifying
17x2 + 36x + 60 = 0

Reorder the terms:
60 + 36x + 17x2 = 0

Solving
60 + 36x + 17x2 = 0

Solving for variable 'x'.

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

Divide each side by '17'.
3.529411765 + 2.117647059x + x2 = 0

Move the constant term to the right:

Add '-3.529411765' to each side of the equation.
3.529411765 + 2.117647059x + -3.529411765 + x2 = 0 + -3.529411765

Reorder the terms:
3.529411765 + -3.529411765 + 2.117647059x + x2 = 0 + -3.529411765

Combine like terms: 3.529411765 + -3.529411765 = 0.000000000
0.000000000 + 2.117647059x + x2 = 0 + -3.529411765
2.117647059x + x2 = 0 + -3.529411765

Combine like terms: 0 + -3.529411765 = -3.529411765
2.117647059x + x2 = -3.529411765

The x term is 2.117647059x.  Take half its coefficient (1.05882353).
Square it (1.121107268) and add it to both sides.

Add '1.121107268' to each side of the equation.
2.117647059x + 1.121107268 + x2 = -3.529411765 + 1.121107268

Reorder the terms:
1.121107268 + 2.117647059x + x2 = -3.529411765 + 1.121107268

Combine like terms: -3.529411765 + 1.121107268 = -2.408304497
1.121107268 + 2.117647059x + x2 = -2.408304497

Factor a perfect square on the left side:
(x + 1.05882353)(x + 1.05882353) = -2.408304497

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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