-x^2+6x=44

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Solution for -x^2+6x=44 equation:


Simplifying
-1x2 + 6x = 44

Reorder the terms:
6x + -1x2 = 44

Solving
6x + -1x2 = 44

Solving for variable 'x'.

Reorder the terms:
-44 + 6x + -1x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + 6x + -1x2 = 0

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

Divide each side by '-1'.
44 + -6x + x2 = 0

Move the constant term to the right:

Add '-44' to each side of the equation.
44 + -6x + -44 + x2 = 0 + -44

Reorder the terms:
44 + -44 + -6x + x2 = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -6x + x2 = 0 + -44
-6x + x2 = 0 + -44

Combine like terms: 0 + -44 = -44
-6x + x2 = -44

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 = -44 + 9

Reorder the terms:
9 + -6x + x2 = -44 + 9

Combine like terms: -44 + 9 = -35
9 + -6x + x2 = -35

Factor a perfect square on the left side:
(x + -3)(x + -3) = -35

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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