(3b+4b^2-2b^4)+(5b+8b^2+2b^4)-(5b^4+5b^2)=

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Solution for (3b+4b^2-2b^4)+(5b+8b^2+2b^4)-(5b^4+5b^2)= equation:


Simplifying
(3b + 4b2 + -2b4) + (5b + 8b2 + 2b4) + -1(5b4 + 5b2) = 0

Remove parenthesis around (3b + 4b2 + -2b4)
3b + 4b2 + -2b4 + (5b + 8b2 + 2b4) + -1(5b4 + 5b2) = 0

Remove parenthesis around (5b + 8b2 + 2b4)
3b + 4b2 + -2b4 + 5b + 8b2 + 2b4 + -1(5b4 + 5b2) = 0

Reorder the terms:
3b + 4b2 + -2b4 + 5b + 8b2 + 2b4 + -1(5b2 + 5b4) = 0
3b + 4b2 + -2b4 + 5b + 8b2 + 2b4 + (5b2 * -1 + 5b4 * -1) = 0
3b + 4b2 + -2b4 + 5b + 8b2 + 2b4 + (-5b2 + -5b4) = 0

Reorder the terms:
3b + 5b + 4b2 + 8b2 + -5b2 + -2b4 + 2b4 + -5b4 = 0

Combine like terms: 3b + 5b = 8b
8b + 4b2 + 8b2 + -5b2 + -2b4 + 2b4 + -5b4 = 0

Combine like terms: 4b2 + 8b2 = 12b2
8b + 12b2 + -5b2 + -2b4 + 2b4 + -5b4 = 0

Combine like terms: 12b2 + -5b2 = 7b2
8b + 7b2 + -2b4 + 2b4 + -5b4 = 0

Combine like terms: -2b4 + 2b4 = 0
8b + 7b2 + 0 + -5b4 = 0
8b + 7b2 + -5b4 = 0

Solving
8b + 7b2 + -5b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(8 + 7b + -5b3) = 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 '(8 + 7b + -5b3)' equal to zero and attempt to solve: Simplifying 8 + 7b + -5b3 = 0 Solving 8 + 7b + -5b3 = 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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