(3b+b^3)+(8b+5b^3)=0

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Solution for (3b+b^3)+(8b+5b^3)=0 equation:


Simplifying
(3b + b3) + (8b + 5b3) = 0

Remove parenthesis around (3b + b3)
3b + b3 + (8b + 5b3) = 0

Remove parenthesis around (8b + 5b3)
3b + b3 + 8b + 5b3 = 0

Reorder the terms:
3b + 8b + b3 + 5b3 = 0

Combine like terms: 3b + 8b = 11b
11b + b3 + 5b3 = 0

Combine like terms: b3 + 5b3 = 6b3
11b + 6b3 = 0

Solving
11b + 6b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(11 + 6b2) = 0

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 '(11 + 6b2)' equal to zero and attempt to solve: Simplifying 11 + 6b2 = 0 Solving 11 + 6b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6b2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6b2 = 0 + -11 6b2 = 0 + -11 Combine like terms: 0 + -11 = -11 6b2 = -11 Divide each side by '6'. b2 = -1.833333333 Simplifying b2 = -1.833333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

b = {0}

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