b(3b+2c+5)=

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Solution for b(3b+2c+5)= equation: 


Simplifying
b(3b + 2c + 5) = 0

Reorder the terms:
b(5 + 3b + 2c) = 0
(5 * b + 3b * b + 2c * b) = 0

Reorder the terms:
(5b + 2bc + 3b2) = 0
(5b + 2bc + 3b2) = 0

Solving
5b + 2bc + 3b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(5 + 2c + 3b) = 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 '(5 + 2c + 3b)' equal to zero and attempt to solve:

Simplifying
5 + 2c + 3b = 0

Reorder the terms:
5 + 3b + 2c = 0

Solving
5 + 3b + 2c = 0

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

Add '-5' to each side of the equation.
5 + 3b + -5 + 2c = 0 + -5

Reorder the terms:
5 + -5 + 3b + 2c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3b + 2c = 0 + -5
3b + 2c = 0 + -5

Combine like terms: 0 + -5 = -5
3b + 2c = -5

Add '-2c' to each side of the equation.
3b + 2c + -2c = -5 + -2c

Combine like terms: 2c + -2c = 0
3b + 0 = -5 + -2c
3b = -5 + -2c

Divide each side by '3'.
b = -1.666666667 + -0.6666666667c

Simplifying
b = -1.666666667 + -0.6666666667c
Solution
b = {0, -1.666666667 + -0.6666666667c}

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