-x^2+29x-866=0

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Solution for -x^2+29x-866=0 equation:


Simplifying
-1x2 + 29x + -866 = 0

Reorder the terms:
-866 + 29x + -1x2 = 0

Solving
-866 + 29x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
866 + -29x + x2 = 0

Move the constant term to the right:

Add '-866' to each side of the equation.
866 + -29x + -866 + x2 = 0 + -866

Reorder the terms:
866 + -866 + -29x + x2 = 0 + -866

Combine like terms: 866 + -866 = 0
0 + -29x + x2 = 0 + -866
-29x + x2 = 0 + -866

Combine like terms: 0 + -866 = -866
-29x + x2 = -866

The x term is -29x.  Take half its coefficient (-14.5).
Square it (210.25) and add it to both sides.

Add '210.25' to each side of the equation.
-29x + 210.25 + x2 = -866 + 210.25

Reorder the terms:
210.25 + -29x + x2 = -866 + 210.25

Combine like terms: -866 + 210.25 = -655.75
210.25 + -29x + x2 = -655.75

Factor a perfect square on the left side:
(x + -14.5)(x + -14.5) = -655.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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