3x^3+9x-54x=0

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Solution for 3x^3+9x-54x=0 equation: 


Simplifying
3x3 + 9x + -54x = 0

Reorder the terms:
9x + -54x + 3x3 = 0

Combine like terms: 9x + -54x = -45x
-45x + 3x3 = 0

Solving
-45x + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-15 + x2) = 0

Ignore the factor 3.

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 '(-15 + x2)' equal to zero and attempt to solve:

Simplifying
-15 + x2 = 0

Solving
-15 + x2 = 0

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

Add '15' to each side of the equation.
-15 + 15 + x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x2 = 0 + 15
x2 = 0 + 15

Combine like terms: 0 + 15 = 15
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}
Solution
x = {0, -3.872983346, 3.872983346}

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