2x^3+8x-42x=0

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Solution for 2x^3+8x-42x=0 equation: 


Simplifying
2x3 + 8x + -42x = 0

Reorder the terms:
8x + -42x + 2x3 = 0

Combine like terms: 8x + -42x = -34x
-34x + 2x3 = 0

Solving
-34x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-17 + 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 '(-17 + x2)' equal to zero and attempt to solve:

Simplifying
-17 + x2 = 0

Solving
-17 + x2 = 0

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

Add '17' to each side of the equation.
-17 + 17 + x2 = 0 + 17

Combine like terms: -17 + 17 = 0
0 + x2 = 0 + 17
x2 = 0 + 17

Combine like terms: 0 + 17 = 17
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}
Solution
x = {0, -4.123105626, 4.123105626}

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