3x^3-14x+8=8

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Solution for 3x^3-14x+8=8 equation: 


Simplifying
3x3 + -14x + 8 = 8

Reorder the terms:
8 + -14x + 3x3 = 8

Add '-8' to each side of the equation.
8 + -14x + -8 + 3x3 = 8 + -8

Reorder the terms:
8 + -8 + -14x + 3x3 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + -14x + 3x3 = 8 + -8
-14x + 3x3 = 8 + -8

Combine like terms: 8 + -8 = 0
-14x + 3x3 = 0

Solving
-14x + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + 3x2) = 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 '(-14 + 3x2)' equal to zero and attempt to solve:

Simplifying
-14 + 3x2 = 0

Solving
-14 + 3x2 = 0

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

Add '14' to each side of the equation.
-14 + 14 + 3x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 3x2 = 0 + 14
3x2 = 0 + 14

Combine like terms: 0 + 14 = 14
3x2 = 14

Divide each side by '3'.
x2 = 4.666666667

Simplifying
x2 = 4.666666667

Take the square root of each side:
x = {-2.1602469, 2.1602469}
Solution
x = {0, -2.1602469, 2.1602469}

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