0=15x^4-20x^3

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Solution for 0=15x^4-20x^3 equation:


Simplifying
0 = 15x4 + -20x3

Reorder the terms:
0 = -20x3 + 15x4

Solving
0 = -20x3 + 15x4

Solving for variable 'x'.
Remove the zero:
20x3 + -15x4 = -20x3 + 15x4 + 20x3 + -15x4

Reorder the terms:
20x3 + -15x4 = -20x3 + 20x3 + 15x4 + -15x4

Combine like terms: -20x3 + 20x3 = 0
20x3 + -15x4 = 0 + 15x4 + -15x4
20x3 + -15x4 = 15x4 + -15x4

Combine like terms: 15x4 + -15x4 = 0
20x3 + -15x4 = 0

Factor out the Greatest Common Factor (GCF), '5x3'.
5x3(4 + -3x) = 0

Ignore the factor 5.

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 '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {1.333333333}

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