x^4=2x^3+15x^2e

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Solution for x^4=2x^3+15x^2e equation: 


Simplifying
x4 = 2x3 + 15x2e

Reorder the terms:
x4 = 15ex2 + 2x3

Solving
x4 = 15ex2 + 2x3

Solving for variable 'x'.

Reorder the terms:
-15ex2 + -2x3 + x4 = 15ex2 + 2x3 + -15ex2 + -2x3

Reorder the terms:
-15ex2 + -2x3 + x4 = 15ex2 + -15ex2 + 2x3 + -2x3

Combine like terms: 15ex2 + -15ex2 = 0
-15ex2 + -2x3 + x4 = 0 + 2x3 + -2x3
-15ex2 + -2x3 + x4 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-15ex2 + -2x3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-15e + -2x + x2) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-15e + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-15e + -2x + x2 = 0

Solving
-15e + -2x + x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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