x(3-2x)-(1+x^2)=0

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Solution for x(3-2x)-(1+x^2)=0 equation:


Simplifying
x(3 + -2x) + -1(1 + x2) = 0
(3 * x + -2x * x) + -1(1 + x2) = 0
(3x + -2x2) + -1(1 + x2) = 0
3x + -2x2 + (1 * -1 + x2 * -1) = 0
3x + -2x2 + (-1 + -1x2) = 0

Reorder the terms:
-1 + 3x + -2x2 + -1x2 = 0

Combine like terms: -2x2 + -1x2 = -3x2
-1 + 3x + -3x2 = 0

Solving
-1 + 3x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
0.3333333333 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -1x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -1x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -1x + x2 = 0 + -0.3333333333
-1x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-1x + x2 = -0.3333333333

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + -1x + x2 = -0.0833333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.0833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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