3x^2+28x+68=0

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Solution for 3x^2+28x+68=0 equation:


Simplifying
3x2 + 28x + 68 = 0

Reorder the terms:
68 + 28x + 3x2 = 0

Solving
68 + 28x + 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'.
22.66666667 + 9.333333333x + x2 = 0

Move the constant term to the right:

Add '-22.66666667' to each side of the equation.
22.66666667 + 9.333333333x + -22.66666667 + x2 = 0 + -22.66666667

Reorder the terms:
22.66666667 + -22.66666667 + 9.333333333x + x2 = 0 + -22.66666667

Combine like terms: 22.66666667 + -22.66666667 = 0.00000000
0.00000000 + 9.333333333x + x2 = 0 + -22.66666667
9.333333333x + x2 = 0 + -22.66666667

Combine like terms: 0 + -22.66666667 = -22.66666667
9.333333333x + x2 = -22.66666667

The x term is 9.333333333x.  Take half its coefficient (4.666666667).
Square it (21.77777778) and add it to both sides.

Add '21.77777778' to each side of the equation.
9.333333333x + 21.77777778 + x2 = -22.66666667 + 21.77777778

Reorder the terms:
21.77777778 + 9.333333333x + x2 = -22.66666667 + 21.77777778

Combine like terms: -22.66666667 + 21.77777778 = -0.88888889
21.77777778 + 9.333333333x + x2 = -0.88888889

Factor a perfect square on the left side:
(x + 4.666666667)(x + 4.666666667) = -0.88888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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