0=x^4-2x^3

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Solution for 0=x^4-2x^3 equation:


Simplifying
0 = x4 + -2x3

Reorder the terms:
0 = -2x3 + x4

Solving
0 = -2x3 + x4

Solving for variable 'x'.
Remove the zero:
2x3 + -1x4 = -2x3 + x4 + 2x3 + -1x4

Reorder the terms:
2x3 + -1x4 = -2x3 + 2x3 + x4 + -1x4

Combine like terms: -2x3 + 2x3 = 0
2x3 + -1x4 = 0 + x4 + -1x4
2x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
2x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(2 + -1x) = 0

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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {2}

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