26x^2+260x+671=0

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Solution for 26x^2+260x+671=0 equation:


Simplifying
26x2 + 260x + 671 = 0

Reorder the terms:
671 + 260x + 26x2 = 0

Solving
671 + 260x + 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'.
25.80769231 + 10x + x2 = 0

Move the constant term to the right:

Add '-25.80769231' to each side of the equation.
25.80769231 + 10x + -25.80769231 + x2 = 0 + -25.80769231

Reorder the terms:
25.80769231 + -25.80769231 + 10x + x2 = 0 + -25.80769231

Combine like terms: 25.80769231 + -25.80769231 = 0.00000000
0.00000000 + 10x + x2 = 0 + -25.80769231
10x + x2 = 0 + -25.80769231

Combine like terms: 0 + -25.80769231 = -25.80769231
10x + x2 = -25.80769231

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -25.80769231 + 25

Reorder the terms:
25 + 10x + x2 = -25.80769231 + 25

Combine like terms: -25.80769231 + 25 = -0.80769231
25 + 10x + x2 = -0.80769231

Factor a perfect square on the left side:
(x + 5)(x + 5) = -0.80769231

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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