b^6-14b^3=-45

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Solution for b^6-14b^3=-45 equation: 


Simplifying
b6 + -14b3 = -45

Reorder the terms:
-14b3 + b6 = -45

Solving
-14b3 + b6 = -45

Solving for variable 'b'.

Reorder the terms:
45 + -14b3 + b6 = -45 + 45

Combine like terms: -45 + 45 = 0
45 + -14b3 + b6 = 0

Factor a trinomial.
(5 + -1b3)(9 + -1b3) = 0


Subproblem 1
Set the factor '(5 + -1b3)' equal to zero and attempt to solve:

Simplifying
5 + -1b3 = 0

Solving
5 + -1b3 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1b3 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b3 = 0 + -5
-1b3 = 0 + -5

Combine like terms: 0 + -5 = -5
-1b3 = -5

Divide each side by '-1'.
b3 = 5

Simplifying
b3 = 5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(9 + -1b3)' equal to zero and attempt to solve:

Simplifying
9 + -1b3 = 0

Solving
9 + -1b3 = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1b3 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1b3 = 0 + -9
-1b3 = 0 + -9

Combine like terms: 0 + -9 = -9
-1b3 = -9

Divide each side by '-1'.
b3 = 9

Simplifying
b3 = 9

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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