13x^2+9x+29=0

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Solution for 13x^2+9x+29=0 equation:


Simplifying
13x2 + 9x + 29 = 0

Reorder the terms:
29 + 9x + 13x2 = 0

Solving
29 + 9x + 13x2 = 0

Solving for variable 'x'.

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

Divide each side by '13'.
2.230769231 + 0.6923076923x + x2 = 0

Move the constant term to the right:

Add '-2.230769231' to each side of the equation.
2.230769231 + 0.6923076923x + -2.230769231 + x2 = 0 + -2.230769231

Reorder the terms:
2.230769231 + -2.230769231 + 0.6923076923x + x2 = 0 + -2.230769231

Combine like terms: 2.230769231 + -2.230769231 = 0.000000000
0.000000000 + 0.6923076923x + x2 = 0 + -2.230769231
0.6923076923x + x2 = 0 + -2.230769231

Combine like terms: 0 + -2.230769231 = -2.230769231
0.6923076923x + x2 = -2.230769231

The x term is 0.6923076923x.  Take half its coefficient (0.3461538462).
Square it (0.1198224852) and add it to both sides.

Add '0.1198224852' to each side of the equation.
0.6923076923x + 0.1198224852 + x2 = -2.230769231 + 0.1198224852

Reorder the terms:
0.1198224852 + 0.6923076923x + x2 = -2.230769231 + 0.1198224852

Combine like terms: -2.230769231 + 0.1198224852 = -2.1109467458
0.1198224852 + 0.6923076923x + x2 = -2.1109467458

Factor a perfect square on the left side:
(x + 0.3461538462)(x + 0.3461538462) = -2.1109467458

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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