7.2x^2+11x+5=0

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Solution for 7.2x^2+11x+5=0 equation:


Simplifying
7.2x2 + 11x + 5 = 0

Reorder the terms:
5 + 11x + 7.2x2 = 0

Solving
5 + 11x + 7.2x2 = 0

Solving for variable 'x'.

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

Divide each side by '7.2'.
0.6944444444 + 1.527777778x + x2 = 0

Move the constant term to the right:

Add '-0.6944444444' to each side of the equation.
0.6944444444 + 1.527777778x + -0.6944444444 + x2 = 0 + -0.6944444444

Reorder the terms:
0.6944444444 + -0.6944444444 + 1.527777778x + x2 = 0 + -0.6944444444

Combine like terms: 0.6944444444 + -0.6944444444 = 0.0000000000
0.0000000000 + 1.527777778x + x2 = 0 + -0.6944444444
1.527777778x + x2 = 0 + -0.6944444444

Combine like terms: 0 + -0.6944444444 = -0.6944444444
1.527777778x + x2 = -0.6944444444

The x term is 1.527777778x.  Take half its coefficient (0.763888889).
Square it (0.5835262347) and add it to both sides.

Add '0.5835262347' to each side of the equation.
1.527777778x + 0.5835262347 + x2 = -0.6944444444 + 0.5835262347

Reorder the terms:
0.5835262347 + 1.527777778x + x2 = -0.6944444444 + 0.5835262347

Combine like terms: -0.6944444444 + 0.5835262347 = -0.1109182097
0.5835262347 + 1.527777778x + x2 = -0.1109182097

Factor a perfect square on the left side:
(x + 0.763888889)(x + 0.763888889) = -0.1109182097

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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