2x^2+9x+72=0

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Solution for 2x^2+9x+72=0 equation:


Simplifying
2x2 + 9x + 72 = 0

Reorder the terms:
72 + 9x + 2x2 = 0

Solving
72 + 9x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
36 + 4.5x + x2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 4.5x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + 4.5x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 4.5x + x2 = 0 + -36
4.5x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
4.5x + x2 = -36

The x term is 4.5x.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5x + 5.0625 + x2 = -36 + 5.0625

Reorder the terms:
5.0625 + 4.5x + x2 = -36 + 5.0625

Combine like terms: -36 + 5.0625 = -30.9375
5.0625 + 4.5x + x2 = -30.9375

Factor a perfect square on the left side:
(x + 2.25)(x + 2.25) = -30.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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