(3x^2)x(x-2)=

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


Simplifying
(3x2) * x(x + -2) = 0

Remove parenthesis around (3x2)
3x2 * x(x + -2) = 0

Reorder the terms:
3x2 * x(-2 + x) = 0

Multiply x2 * x
3x3(-2 + x) = 0
(-2 * 3x3 + x * 3x3) = 0
(-6x3 + 3x4) = 0

Solving
-6x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x3'.
3x3(-2 + x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Solution

x = {2}

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