(5*b*b*b-8*b+2*b*b)+(3*b*b-7*b*b*b+5*b)=

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Solution for (5*b*b*b-8*b+2*b*b)+(3*b*b-7*b*b*b+5*b)= equation: 


Simplifying
(5b * b * b + -8b + 2b * b) + (3b * b + -7b * b * b + 5b) = 0

Multiply b * b
(5b2 * b + -8b + 2b * b) + (3b * b + -7b * b * b + 5b) = 0

Multiply b2 * b
(5b3 + -8b + 2b * b) + (3b * b + -7b * b * b + 5b) = 0

Multiply b * b
(5b3 + -8b + 2b2) + (3b * b + -7b * b * b + 5b) = 0

Reorder the terms:
(-8b + 2b2 + 5b3) + (3b * b + -7b * b * b + 5b) = 0

Remove parenthesis around (-8b + 2b2 + 5b3)
-8b + 2b2 + 5b3 + (3b * b + -7b * b * b + 5b) = 0

Multiply b * b
-8b + 2b2 + 5b3 + (3b2 + -7b * b * b + 5b) = 0

Multiply b * b
-8b + 2b2 + 5b3 + (3b2 + -7b2 * b + 5b) = 0

Multiply b2 * b
-8b + 2b2 + 5b3 + (3b2 + -7b3 + 5b) = 0

Reorder the terms:
-8b + 2b2 + 5b3 + (5b + 3b2 + -7b3) = 0

Remove parenthesis around (5b + 3b2 + -7b3)
-8b + 2b2 + 5b3 + 5b + 3b2 + -7b3 = 0

Reorder the terms:
-8b + 5b + 2b2 + 3b2 + 5b3 + -7b3 = 0

Combine like terms: -8b + 5b = -3b
-3b + 2b2 + 3b2 + 5b3 + -7b3 = 0

Combine like terms: 2b2 + 3b2 = 5b2
-3b + 5b2 + 5b3 + -7b3 = 0

Combine like terms: 5b3 + -7b3 = -2b3
-3b + 5b2 + -2b3 = 0

Solving
-3b + 5b2 + -2b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-3 + 5b + -2b2) = 0

Factor a trinomial.
b((-3 + 2b)(1 + -1b)) = 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 '(-3 + 2b)' equal to zero and attempt to solve:

Simplifying
-3 + 2b = 0

Solving
-3 + 2b = 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 + 2b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2b = 0 + 3
2b = 0 + 3

Combine like terms: 0 + 3 = 3
2b = 3

Divide each side by '2'.
b = 1.5

Simplifying
b = 1.5

Subproblem 3
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1b = 0 + -1
-1b = 0 + -1

Combine like terms: 0 + -1 = -1
-1b = -1

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {0, 1.5, 1}

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