(3b^3+b^5+12b)-(-b^2-5b^5+14b^3)=0

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Solution for (3b^3+b^5+12b)-(-b^2-5b^5+14b^3)=0 equation:


Simplifying
(3b3 + b5 + 12b) + -1(-1b2 + -5b5 + 14b3) = 0

Reorder the terms:
(12b + 3b3 + b5) + -1(-1b2 + -5b5 + 14b3) = 0

Remove parenthesis around (12b + 3b3 + b5)
12b + 3b3 + b5 + -1(-1b2 + -5b5 + 14b3) = 0

Reorder the terms:
12b + 3b3 + b5 + -1(-1b2 + 14b3 + -5b5) = 0
12b + 3b3 + b5 + (-1b2 * -1 + 14b3 * -1 + -5b5 * -1) = 0
12b + 3b3 + b5 + (1b2 + -14b3 + 5b5) = 0

Reorder the terms:
12b + 1b2 + 3b3 + -14b3 + b5 + 5b5 = 0

Combine like terms: 3b3 + -14b3 = -11b3
12b + 1b2 + -11b3 + b5 + 5b5 = 0

Combine like terms: b5 + 5b5 = 6b5
12b + 1b2 + -11b3 + 6b5 = 0

Solving
12b + 1b2 + -11b3 + 6b5 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(12 + b + -11b2 + 6b4) = 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 '(12 + b + -11b2 + 6b4)' equal to zero and attempt to solve: Simplifying 12 + b + -11b2 + 6b4 = 0 Solving 12 + b + -11b2 + 6b4 = 0 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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