3x-x^2=221

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Solution for 3x-x^2=221 equation:


Simplifying
3x + -1x2 = 221

Solving
3x + -1x2 = 221

Solving for variable 'x'.

Reorder the terms:
-221 + 3x + -1x2 = 221 + -221

Combine like terms: 221 + -221 = 0
-221 + 3x + -1x2 = 0

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

Divide each side by '-1'.
221 + -3x + x2 = 0

Move the constant term to the right:

Add '-221' to each side of the equation.
221 + -3x + -221 + x2 = 0 + -221

Reorder the terms:
221 + -221 + -3x + x2 = 0 + -221

Combine like terms: 221 + -221 = 0
0 + -3x + x2 = 0 + -221
-3x + x2 = 0 + -221

Combine like terms: 0 + -221 = -221
-3x + x2 = -221

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -221 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -221 + 2.25

Combine like terms: -221 + 2.25 = -218.75
2.25 + -3x + x2 = -218.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -218.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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