2x-x^2=432

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Solution for 2x-x^2=432 equation:


Simplifying
2x + -1x2 = 432

Solving
2x + -1x2 = 432

Solving for variable 'x'.

Reorder the terms:
-432 + 2x + -1x2 = 432 + -432

Combine like terms: 432 + -432 = 0
-432 + 2x + -1x2 = 0

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

Divide each side by '-1'.
432 + -2x + x2 = 0

Move the constant term to the right:

Add '-432' to each side of the equation.
432 + -2x + -432 + x2 = 0 + -432

Reorder the terms:
432 + -432 + -2x + x2 = 0 + -432

Combine like terms: 432 + -432 = 0
0 + -2x + x2 = 0 + -432
-2x + x2 = 0 + -432

Combine like terms: 0 + -432 = -432
-2x + x2 = -432

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -432 + 1

Reorder the terms:
1 + -2x + x2 = -432 + 1

Combine like terms: -432 + 1 = -431
1 + -2x + x2 = -431

Factor a perfect square on the left side:
(x + -1)(x + -1) = -431

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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