(2b+5c)(3b+8c)=

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Solution for (2b+5c)(3b+8c)= equation: 


Simplifying
(2b + 5c)(3b + 8c) = 0

Multiply (2b + 5c) * (3b + 8c)
(2b * (3b + 8c) + 5c * (3b + 8c)) = 0
((3b * 2b + 8c * 2b) + 5c * (3b + 8c)) = 0

Reorder the terms:
((16bc + 6b2) + 5c * (3b + 8c)) = 0
((16bc + 6b2) + 5c * (3b + 8c)) = 0
(16bc + 6b2 + (3b * 5c + 8c * 5c)) = 0
(16bc + 6b2 + (15bc + 40c2)) = 0

Reorder the terms:
(16bc + 15bc + 6b2 + 40c2) = 0

Combine like terms: 16bc + 15bc = 31bc
(31bc + 6b2 + 40c2) = 0

Solving
31bc + 6b2 + 40c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2b + 5c)(3b + 8c) = 0


Subproblem 1
Set the factor '(2b + 5c)' equal to zero and attempt to solve:

Simplifying
2b + 5c = 0

Solving
2b + 5c = 0

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

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

Combine like terms: 5c + -5c = 0
2b + 0 = 0 + -5c
2b = 0 + -5c
Remove the zero:
2b = -5c

Divide each side by '2'.
b = -2.5c

Simplifying
b = -2.5c

Subproblem 2
Set the factor '(3b + 8c)' equal to zero and attempt to solve:

Simplifying
3b + 8c = 0

Solving
3b + 8c = 0

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

Add '-8c' to each side of the equation.
3b + 8c + -8c = 0 + -8c

Combine like terms: 8c + -8c = 0
3b + 0 = 0 + -8c
3b = 0 + -8c
Remove the zero:
3b = -8c

Divide each side by '3'.
b = -2.666666667c

Simplifying
b = -2.666666667c
Solution
b = {-2.5c, -2.666666667c}

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