26x^2+47x+29=0

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Solution for 26x^2+47x+29=0 equation:


Simplifying
26x2 + 47x + 29 = 0

Reorder the terms:
29 + 47x + 26x2 = 0

Solving
29 + 47x + 26x2 = 0

Solving for variable 'x'.

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

Divide each side by '26'.
1.115384615 + 1.807692308x + x2 = 0

Move the constant term to the right:

Add '-1.115384615' to each side of the equation.
1.115384615 + 1.807692308x + -1.115384615 + x2 = 0 + -1.115384615

Reorder the terms:
1.115384615 + -1.115384615 + 1.807692308x + x2 = 0 + -1.115384615

Combine like terms: 1.115384615 + -1.115384615 = 0.000000000
0.000000000 + 1.807692308x + x2 = 0 + -1.115384615
1.807692308x + x2 = 0 + -1.115384615

Combine like terms: 0 + -1.115384615 = -1.115384615
1.807692308x + x2 = -1.115384615

The x term is 1.807692308x.  Take half its coefficient (0.903846154).
Square it (0.8169378701) and add it to both sides.

Add '0.8169378701' to each side of the equation.
1.807692308x + 0.8169378701 + x2 = -1.115384615 + 0.8169378701

Reorder the terms:
0.8169378701 + 1.807692308x + x2 = -1.115384615 + 0.8169378701

Combine like terms: -1.115384615 + 0.8169378701 = -0.2984467449
0.8169378701 + 1.807692308x + x2 = -0.2984467449

Factor a perfect square on the left side:
(x + 0.903846154)(x + 0.903846154) = -0.2984467449

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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