2x^3+8x-24x=0

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Solution for 2x^3+8x-24x=0 equation: 


Simplifying
2x3 + 8x + -24x = 0

Reorder the terms:
8x + -24x + 2x3 = 0

Combine like terms: 8x + -24x = -16x
-16x + 2x3 = 0

Solving
-16x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-8 + x2) = 0

Ignore the factor 2.

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 '(-8 + x2)' equal to zero and attempt to solve:

Simplifying
-8 + x2 = 0

Solving
-8 + x2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x2 = 0 + 8
x2 = 0 + 8

Combine like terms: 0 + 8 = 8
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}
Solution
x = {0, -2.828427125, 2.828427125}

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