-x^2+6x-31=0

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Solution for -x^2+6x-31=0 equation:


Simplifying
-1x2 + 6x + -31 = 0

Reorder the terms:
-31 + 6x + -1x2 = 0

Solving
-31 + 6x + -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'.
31 + -6x + x2 = 0

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + -6x + -31 + x2 = 0 + -31

Reorder the terms:
31 + -31 + -6x + x2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -6x + x2 = 0 + -31
-6x + x2 = 0 + -31

Combine like terms: 0 + -31 = -31
-6x + x2 = -31

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -31 + 9

Reorder the terms:
9 + -6x + x2 = -31 + 9

Combine like terms: -31 + 9 = -22
9 + -6x + x2 = -22

Factor a perfect square on the left side:
(x + -3)(x + -3) = -22

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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