3x^2+17x+28=0

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Solution for 3x^2+17x+28=0 equation:


Simplifying
3x2 + 17x + 28 = 0

Reorder the terms:
28 + 17x + 3x2 = 0

Solving
28 + 17x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
9.333333333 + 5.666666667x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + 5.666666667x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + 5.666666667x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + 5.666666667x + x2 = 0 + -9.333333333
5.666666667x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
5.666666667x + x2 = -9.333333333

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 = -9.333333333 + 8.027777782

Reorder the terms:
8.027777782 + 5.666666667x + x2 = -9.333333333 + 8.027777782

Combine like terms: -9.333333333 + 8.027777782 = -1.305555551
8.027777782 + 5.666666667x + x2 = -1.305555551

Factor a perfect square on the left side:
(x + 2.833333334)(x + 2.833333334) = -1.305555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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