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

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

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

Reorder the terms:
x2(2 + x2) + -2x2 + -1(x + -1)(1 + x) = 0
(2 * x2 + x2 * x2) + -2x2 + -1(x + -1)(1 + x) = 0
(2x2 + x4) + -2x2 + -1(x + -1)(1 + x) = 0

Reorder the terms:
2x2 + x4 + -2x2 + -1(-1 + x)(1 + x) = 0

Multiply (-1 + x) * (1 + x)
2x2 + x4 + -2x2 + -1(-1(1 + x) + x(1 + x)) = 0
2x2 + x4 + -2x2 + -1((1 * -1 + x * -1) + x(1 + x)) = 0
2x2 + x4 + -2x2 + -1((-1 + -1x) + x(1 + x)) = 0
2x2 + x4 + -2x2 + -1(-1 + -1x + (1 * x + x * x)) = 0
2x2 + x4 + -2x2 + -1(-1 + -1x + (1x + x2)) = 0

Combine like terms: -1x + 1x = 0
2x2 + x4 + -2x2 + -1(-1 + 0 + x2) = 0
2x2 + x4 + -2x2 + -1(-1 + x2) = 0
2x2 + x4 + -2x2 + (-1 * -1 + x2 * -1) = 0
2x2 + x4 + -2x2 + (1 + -1x2) = 0

Reorder the terms:
1 + 2x2 + -2x2 + -1x2 + x4 = 0

Combine like terms: 2x2 + -2x2 = 0
1 + 0 + -1x2 + x4 = 0
1 + -1x2 + x4 = 0

Solving
1 + -1x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1x2 + -1 + x4 = 0 + -1

Reorder the terms:
1 + -1 + -1x2 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x2 + x4 = 0 + -1
-1x2 + x4 = 0 + -1

Combine like terms: 0 + -1 = -1
-1x2 + x4 = -1

The x term is -1x2.  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.
-1x2 + 0.25 + x4 = -1 + 0.25

Reorder the terms:
0.25 + -1x2 + x4 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1x2 + x4 = -0.75

Factor a perfect square on the left side:
(x2 + -0.5)(x2 + -0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.