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

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


Simplifying
sqrt(x2 + -1x + 1)(x2 + 2) + -1x3 + -2x2 + 3x + -1 = 0

Reorder the terms:
qrst(1 + -1x + x2)(x2 + 2) + -1x3 + -2x2 + 3x + -1 = 0

Reorder the terms:
qrst(1 + -1x + x2)(2 + x2) + -1x3 + -2x2 + 3x + -1 = 0

Multiply (1 + -1x + x2) * (2 + x2)
qrst(1(2 + x2) + -1x * (2 + x2) + x2(2 + x2)) + -1x3 + -2x2 + 3x + -1 = 0
qrst((2 * 1 + x2 * 1) + -1x * (2 + x2) + x2(2 + x2)) + -1x3 + -2x2 + 3x + -1 = 0
qrst((2 + 1x2) + -1x * (2 + x2) + x2(2 + x2)) + -1x3 + -2x2 + 3x + -1 = 0
qrst(2 + 1x2 + (2 * -1x + x2 * -1x) + x2(2 + x2)) + -1x3 + -2x2 + 3x + -1 = 0
qrst(2 + 1x2 + (-2x + -1x3) + x2(2 + x2)) + -1x3 + -2x2 + 3x + -1 = 0
qrst(2 + 1x2 + -2x + -1x3 + (2 * x2 + x2 * x2)) + -1x3 + -2x2 + 3x + -1 = 0
qrst(2 + 1x2 + -2x + -1x3 + (2x2 + x4)) + -1x3 + -2x2 + 3x + -1 = 0

Reorder the terms:
qrst(2 + -2x + 1x2 + 2x2 + -1x3 + x4) + -1x3 + -2x2 + 3x + -1 = 0

Combine like terms: 1x2 + 2x2 = 3x2
qrst(2 + -2x + 3x2 + -1x3 + x4) + -1x3 + -2x2 + 3x + -1 = 0
(2 * qrst + -2x * qrst + 3x2 * qrst + -1x3 * qrst + x4 * qrst) + -1x3 + -2x2 + 3x + -1 = 0
(2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4) + -1x3 + -2x2 + 3x + -1 = 0

Reorder the terms:
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0

Solving
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + 1 + -1x3 = 0 + 1

Reorder the terms:
-1 + 1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0 + 1
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0 + 1

Combine like terms: 0 + 1 = 1
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 1

Add '-3x' to each side of the equation.
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -3x + -1x3 = 1 + -3x

Reorder the terms:
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -3x + -2x2 + -1x3 = 1 + -3x

Combine like terms: 3x + -3x = 0
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 0 + -2x2 + -1x3 = 1 + -3x
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + -2x2 + -1x3 = 1 + -3x

Add '2x2' to each side of the equation.
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + -2x2 + 2x2 + -1x3 = 1 + -3x + 2x2

Combine like terms: -2x2 + 2x2 = 0
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 0 + -1x3 = 1 + -3x + 2x2
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + -1x3 = 1 + -3x + 2x2

Add 'x3' to each side of the equation.
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + -1x3 + x3 = 1 + -3x + 2x2 + x3

Combine like terms: -1x3 + x3 = 0
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 0 = 1 + -3x + 2x2 + x3
2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 = 1 + -3x + 2x2 + x3

Reorder the terms:
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 1 + -3x + 2x2 + x3 + -1 + 3x + -2x2 + -1x3

Reorder the terms:
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 1 + -1 + -3x + 3x + 2x2 + -2x2 + x3 + -1x3

Combine like terms: 1 + -1 = 0
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0 + -3x + 3x + 2x2 + -2x2 + x3 + -1x3
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = -3x + 3x + 2x2 + -2x2 + x3 + -1x3

Combine like terms: -3x + 3x = 0
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0 + 2x2 + -2x2 + x3 + -1x3
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 2x2 + -2x2 + x3 + -1x3

Combine like terms: 2x2 + -2x2 = 0
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0 + x3 + -1x3
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1 + 2qrst + -2qrstx + 3qrstx2 + -1qrstx3 + qrstx4 + 3x + -2x2 + -1x3 = 0

The solution to this equation could not be determined.

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