0=27x-4x^4

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Solution for 0=27x-4x^4 equation: 


Simplifying
0 = 27x + -4x4

Solving
0 = 27x + -4x4

Solving for variable 'x'.
Remove the zero:
-27x + 4x4 = 27x + -4x4 + -27x + 4x4

Reorder the terms:
-27x + 4x4 = 27x + -27x + -4x4 + 4x4

Combine like terms: 27x + -27x = 0
-27x + 4x4 = 0 + -4x4 + 4x4
-27x + 4x4 = -4x4 + 4x4

Combine like terms: -4x4 + 4x4 = 0
-27x + 4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-27 + 4x3) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-27 + 4x3)' equal to zero and attempt to solve:

Simplifying
-27 + 4x3 = 0

Solving
-27 + 4x3 = 0

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

Add '27' to each side of the equation.
-27 + 27 + 4x3 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 4x3 = 0 + 27
4x3 = 0 + 27

Combine like terms: 0 + 27 = 27
4x3 = 27

Divide each side by '4'.
x3 = 6.75

Simplifying
x3 = 6.75

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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