(x^3-4x^2+7x-2)(2x)=

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Solution for (x^3-4x^2+7x-2)(2x)= equation: 


Simplifying
(x3 + -4x2 + 7x + -2)(2x) = 0

Reorder the terms:
(-2 + 7x + -4x2 + x3)(2x) = 0

Remove parenthesis around (2x)
(-2 + 7x + -4x2 + x3) * 2x = 0

Reorder the terms for easier multiplication:
2x(-2 + 7x + -4x2 + x3) = 0
(-2 * 2x + 7x * 2x + -4x2 * 2x + x3 * 2x) = 0
(-4x + 14x2 + -8x3 + 2x4) = 0

Solving
-4x + 14x2 + -8x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-2 + 7x + -4x2 + x3) = 0

Ignore the factor 2.

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 '(-2 + 7x + -4x2 + x3)' equal to zero and attempt to solve:

Simplifying
-2 + 7x + -4x2 + x3 = 0

Solving
-2 + 7x + -4x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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