3x^2+22x+72=0

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Solution for 3x^2+22x+72=0 equation:


Simplifying
3x2 + 22x + 72 = 0

Reorder the terms:
72 + 22x + 3x2 = 0

Solving
72 + 22x + 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'.
24 + 7.333333333x + x2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + 7.333333333x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + 7.333333333x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 7.333333333x + x2 = 0 + -24
7.333333333x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
7.333333333x + x2 = -24

The x term is 7.333333333x.  Take half its coefficient (3.666666667).
Square it (13.44444445) and add it to both sides.

Add '13.44444445' to each side of the equation.
7.333333333x + 13.44444445 + x2 = -24 + 13.44444445

Reorder the terms:
13.44444445 + 7.333333333x + x2 = -24 + 13.44444445

Combine like terms: -24 + 13.44444445 = -10.55555555
13.44444445 + 7.333333333x + x2 = -10.55555555

Factor a perfect square on the left side:
(x + 3.666666667)(x + 3.666666667) = -10.55555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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