x^3+2x^2-x^3-2x^2+4x^2+8x-4x-8-x^2+3x-2=0

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Solution for x^3+2x^2-x^3-2x^2+4x^2+8x-4x-8-x^2+3x-2=0 equation: 


Simplifying
x3 + 2x2 + -1x3 + -2x2 + 4x2 + 8x + -4x + -8 + -1x2 + 3x + -2 = 0

Reorder the terms:
-8 + -2 + 8x + -4x + 3x + 2x2 + -2x2 + 4x2 + -1x2 + x3 + -1x3 = 0

Combine like terms: -8 + -2 = -10
-10 + 8x + -4x + 3x + 2x2 + -2x2 + 4x2 + -1x2 + x3 + -1x3 = 0

Combine like terms: 8x + -4x = 4x
-10 + 4x + 3x + 2x2 + -2x2 + 4x2 + -1x2 + x3 + -1x3 = 0

Combine like terms: 4x + 3x = 7x
-10 + 7x + 2x2 + -2x2 + 4x2 + -1x2 + x3 + -1x3 = 0

Combine like terms: 2x2 + -2x2 = 0
-10 + 7x + 0 + 4x2 + -1x2 + x3 + -1x3 = 0
-10 + 7x + 4x2 + -1x2 + x3 + -1x3 = 0

Combine like terms: 4x2 + -1x2 = 3x2
-10 + 7x + 3x2 + x3 + -1x3 = 0

Combine like terms: x3 + -1x3 = 0
-10 + 7x + 3x2 + 0 = 0
-10 + 7x + 3x2 = 0

Solving
-10 + 7x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -3x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-3.333333333, 1}

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