3x^2+17x+5=-53

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Solution for 3x^2+17x+5=-53 equation:


Simplifying
3x2 + 17x + 5 = -53

Reorder the terms:
5 + 17x + 3x2 = -53

Solving
5 + 17x + 3x2 = -53

Solving for variable 'x'.

Reorder the terms:
5 + 53 + 17x + 3x2 = -53 + 53

Combine like terms: 5 + 53 = 58
58 + 17x + 3x2 = -53 + 53

Combine like terms: -53 + 53 = 0
58 + 17x + 3x2 = 0

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

Divide each side by '3'.
19.33333333 + 5.666666667x + x2 = 0

Move the constant term to the right:

Add '-19.33333333' to each side of the equation.
19.33333333 + 5.666666667x + -19.33333333 + x2 = 0 + -19.33333333

Reorder the terms:
19.33333333 + -19.33333333 + 5.666666667x + x2 = 0 + -19.33333333

Combine like terms: 19.33333333 + -19.33333333 = 0.00000000
0.00000000 + 5.666666667x + x2 = 0 + -19.33333333
5.666666667x + x2 = 0 + -19.33333333

Combine like terms: 0 + -19.33333333 = -19.33333333
5.666666667x + x2 = -19.33333333

The x term is 5.666666667x.  Take half its coefficient (2.833333334).
Square it (8.027777782) and add it to both sides.

Add '8.027777782' to each side of the equation.
5.666666667x + 8.027777782 + x2 = -19.33333333 + 8.027777782

Reorder the terms:
8.027777782 + 5.666666667x + x2 = -19.33333333 + 8.027777782

Combine like terms: -19.33333333 + 8.027777782 = -11.305555548
8.027777782 + 5.666666667x + x2 = -11.305555548

Factor a perfect square on the left side:
(x + 2.833333334)(x + 2.833333334) = -11.305555548

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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