4x^3-24x-160x=0

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Solution for 4x^3-24x-160x=0 equation: 


Simplifying
4x3 + -24x + -160x = 0

Reorder the terms:
-24x + -160x + 4x3 = 0

Combine like terms: -24x + -160x = -184x
-184x + 4x3 = 0

Solving
-184x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-46 + x2) = 0

Ignore the factor 4.

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 '(-46 + x2)' equal to zero and attempt to solve:

Simplifying
-46 + x2 = 0

Solving
-46 + x2 = 0

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

Add '46' to each side of the equation.
-46 + 46 + x2 = 0 + 46

Combine like terms: -46 + 46 = 0
0 + x2 = 0 + 46
x2 = 0 + 46

Combine like terms: 0 + 46 = 46
x2 = 46

Simplifying
x2 = 46

Take the square root of each side:
x = {-6.782329983, 6.782329983}
Solution
x = {0, -6.782329983, 6.782329983}

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