12b^3-2b-30b=0

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Solution for 12b^3-2b-30b=0 equation: 


Simplifying
12b3 + -2b + -30b = 0

Reorder the terms:
-2b + -30b + 12b3 = 0

Combine like terms: -2b + -30b = -32b
-32b + 12b3 = 0

Solving
-32b + 12b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-8 + 3b2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(-8 + 3b2)' equal to zero and attempt to solve:

Simplifying
-8 + 3b2 = 0

Solving
-8 + 3b2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3b2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3b2 = 0 + 8
3b2 = 0 + 8

Combine like terms: 0 + 8 = 8
3b2 = 8

Divide each side by '3'.
b2 = 2.666666667

Simplifying
b2 = 2.666666667

Take the square root of each side:
b = {-1.632993162, 1.632993162}
Solution
b = {0, -1.632993162, 1.632993162}

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