12x^3+14x-48x=0

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Solution for 12x^3+14x-48x=0 equation: 


Simplifying
12x3 + 14x + -48x = 0

Reorder the terms:
14x + -48x + 12x3 = 0

Combine like terms: 14x + -48x = -34x
-34x + 12x3 = 0

Solving
-34x + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-17 + 6x2) = 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 + 6x2)' equal to zero and attempt to solve:

Simplifying
-17 + 6x2 = 0

Solving
-17 + 6x2 = 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 + 6x2 = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 6x2 = 0 + 17
6x2 = 0 + 17

Combine like terms: 0 + 17 = 17
6x2 = 17

Divide each side by '6'.
x2 = 2.833333333

Simplifying
x2 = 2.833333333

Take the square root of each side:
x = {-1.683250823, 1.683250823}
Solution
x = {0, -1.683250823, 1.683250823}

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