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

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


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

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

Combine like terms: 4x + x = 5x
5x + -2x2 + -3x2 + 4x3 + -4x3 = 0

Combine like terms: -2x2 + -3x2 = -5x2
5x + -5x2 + 4x3 + -4x3 = 0

Combine like terms: 4x3 + -4x3 = 0
5x + -5x2 + 0 = 0
5x + -5x2 = 0

Solving
5x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(1 + -1x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 1}

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