(6b^5+6b^4+12b^2)+(14b^5+6b^4-12b^2)=

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Solution for (6b^5+6b^4+12b^2)+(14b^5+6b^4-12b^2)= equation: 


Simplifying
(6b5 + 6b4 + 12b2) + (14b5 + 6b4 + -12b2) = 0

Reorder the terms:
(12b2 + 6b4 + 6b5) + (14b5 + 6b4 + -12b2) = 0

Remove parenthesis around (12b2 + 6b4 + 6b5)
12b2 + 6b4 + 6b5 + (14b5 + 6b4 + -12b2) = 0

Reorder the terms:
12b2 + 6b4 + 6b5 + (-12b2 + 6b4 + 14b5) = 0

Remove parenthesis around (-12b2 + 6b4 + 14b5)
12b2 + 6b4 + 6b5 + -12b2 + 6b4 + 14b5 = 0

Reorder the terms:
12b2 + -12b2 + 6b4 + 6b4 + 6b5 + 14b5 = 0

Combine like terms: 12b2 + -12b2 = 0
0 + 6b4 + 6b4 + 6b5 + 14b5 = 0
6b4 + 6b4 + 6b5 + 14b5 = 0

Combine like terms: 6b4 + 6b4 = 12b4
12b4 + 6b5 + 14b5 = 0

Combine like terms: 6b5 + 14b5 = 20b5
12b4 + 20b5 = 0

Solving
12b4 + 20b5 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b4'.
4b4(3 + 5b) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'b4' equal to zero and attempt to solve:

Simplifying
b4 = 0

Solving
b4 = 0

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

Simplifying
b4 = 0

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 '(3 + 5b)' equal to zero and attempt to solve:

Simplifying
3 + 5b = 0

Solving
3 + 5b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5b = 0 + -3
5b = 0 + -3

Combine like terms: 0 + -3 = -3
5b = -3

Divide each side by '5'.
b = -0.6

Simplifying
b = -0.6
Solution
b = {-0.6}

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