x*(2.4184-x)=1.9383

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Solution for x*(2.4184-x)=1.9383 equation:


Simplifying
x(2.4184 + -1x) = 1.9383
(2.4184 * x + -1x * x) = 1.9383
(2.4184x + -1x2) = 1.9383

Solving
2.4184x + -1x2 = 1.9383

Solving for variable 'x'.

Reorder the terms:
-1.9383 + 2.4184x + -1x2 = 1.9383 + -1.9383

Combine like terms: 1.9383 + -1.9383 = 0.0000
-1.9383 + 2.4184x + -1x2 = 0.0000

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

Divide each side by '-1'.
1.9383 + -2.4184x + x2 = 0.0000

Move the constant term to the right:

Add '-1.9383' to each side of the equation.
1.9383 + -2.4184x + -1.9383 + x2 = 0.0000 + -1.9383

Reorder the terms:
1.9383 + -1.9383 + -2.4184x + x2 = 0.0000 + -1.9383

Combine like terms: 1.9383 + -1.9383 = 0.0000
0.0000 + -2.4184x + x2 = 0.0000 + -1.9383
-2.4184x + x2 = 0.0000 + -1.9383

Combine like terms: 0.0000 + -1.9383 = -1.9383
-2.4184x + x2 = -1.9383

The x term is -2.4184x.  Take half its coefficient (-1.2092).
Square it (1.46216464) and add it to both sides.

Add '1.46216464' to each side of the equation.
-2.4184x + 1.46216464 + x2 = -1.9383 + 1.46216464

Reorder the terms:
1.46216464 + -2.4184x + x2 = -1.9383 + 1.46216464

Combine like terms: -1.9383 + 1.46216464 = -0.47613536
1.46216464 + -2.4184x + x2 = -0.47613536

Factor a perfect square on the left side:
(x + -1.2092)(x + -1.2092) = -0.47613536

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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