(2x^2(x))*x=4x^3

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Solution for (2x^2(x))*x=4x^3 equation:


Simplifying
(2x2(x)) * x = 4x3

Multiply x2 * x
(2x3) * x = 4x3

Remove parenthesis around (2x3)
2x3 * x = 4x3

Multiply x3 * x
2x4 = 4x3

Solving
2x4 = 4x3

Solving for variable 'x'.

Reorder the terms:
-4x3 + 2x4 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-4x3 + 2x4 = 0

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

Ignore the factor 2.

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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