x^3+2x-12x=0

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Solution for x^3+2x-12x=0 equation: 


Simplifying
x3 + 2x + -12x = 0

Reorder the terms:
2x + -12x + x3 = 0

Combine like terms: 2x + -12x = -10x
-10x + x3 = 0

Solving
-10x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + x2) = 0


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 '(-10 + x2)' equal to zero and attempt to solve:

Simplifying
-10 + x2 = 0

Solving
-10 + x2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x2 = 0 + 10
x2 = 0 + 10

Combine like terms: 0 + 10 = 10
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}
Solution
x = {0, -3.16227766, 3.16227766}

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