(10x^4)-(20x^3)=0

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Solution for (10x^4)-(20x^3)=0 equation:


Simplifying
(10x4) + -1(20x3) = 0

Remove parenthesis around (20x3)
(10x4) + -1 * 20x3 = 0

Multiply -1 * 20
(10x4) + -20x3 = 0

Reorder the terms:
-20x3 + (10x4) = 0

Solving
-20x3 + (10x4) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x3'.
10x3(-2 + x) = 0

Ignore the factor 10.

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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