6x^3-21x-45x=0

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Solution for 6x^3-21x-45x=0 equation: 


Simplifying
6x3 + -21x + -45x = 0

Reorder the terms:
-21x + -45x + 6x3 = 0

Combine like terms: -21x + -45x = -66x
-66x + 6x3 = 0

Solving
-66x + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-11 + x2) = 0

Ignore the factor 6.

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 '(-11 + x2)' equal to zero and attempt to solve:

Simplifying
-11 + x2 = 0

Solving
-11 + x2 = 0

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

Add '11' to each side of the equation.
-11 + 11 + x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x2 = 0 + 11
x2 = 0 + 11

Combine like terms: 0 + 11 = 11
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}
Solution
x = {0, -3.31662479, 3.31662479}

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