9x^2+21x+26=0

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Solution for 9x^2+21x+26=0 equation:


Simplifying
9x2 + 21x + 26 = 0

Reorder the terms:
26 + 21x + 9x2 = 0

Solving
26 + 21x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
2.888888889 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.888888889' to each side of the equation.
2.888888889 + 2.333333333x + -2.888888889 + x2 = 0 + -2.888888889

Reorder the terms:
2.888888889 + -2.888888889 + 2.333333333x + x2 = 0 + -2.888888889

Combine like terms: 2.888888889 + -2.888888889 = 0.000000000
0.000000000 + 2.333333333x + x2 = 0 + -2.888888889
2.333333333x + x2 = 0 + -2.888888889

Combine like terms: 0 + -2.888888889 = -2.888888889
2.333333333x + x2 = -2.888888889

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = -2.888888889 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = -2.888888889 + 1.361111112

Combine like terms: -2.888888889 + 1.361111112 = -1.527777777
1.361111112 + 2.333333333x + x2 = -1.527777777

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = -1.527777777

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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