6x-x^2=58

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Solution for 6x-x^2=58 equation:


Simplifying
6x + -1x2 = 58

Solving
6x + -1x2 = 58

Solving for variable 'x'.

Reorder the terms:
-58 + 6x + -1x2 = 58 + -58

Combine like terms: 58 + -58 = 0
-58 + 6x + -1x2 = 0

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

Divide each side by '-1'.
58 + -6x + x2 = 0

Move the constant term to the right:

Add '-58' to each side of the equation.
58 + -6x + -58 + x2 = 0 + -58

Reorder the terms:
58 + -58 + -6x + x2 = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -6x + x2 = 0 + -58
-6x + x2 = 0 + -58

Combine like terms: 0 + -58 = -58
-6x + x2 = -58

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 = -58 + 9

Reorder the terms:
9 + -6x + x2 = -58 + 9

Combine like terms: -58 + 9 = -49
9 + -6x + x2 = -49

Factor a perfect square on the left side:
(x + -3)(x + -3) = -49

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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