(-5b-8)(3b+5)=

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


Simplifying
(-5b + -8)(3b + 5) = 0

Reorder the terms:
(-8 + -5b)(3b + 5) = 0

Reorder the terms:
(-8 + -5b)(5 + 3b) = 0

Multiply (-8 + -5b) * (5 + 3b)
(-8(5 + 3b) + -5b * (5 + 3b)) = 0
((5 * -8 + 3b * -8) + -5b * (5 + 3b)) = 0
((-40 + -24b) + -5b * (5 + 3b)) = 0
(-40 + -24b + (5 * -5b + 3b * -5b)) = 0
(-40 + -24b + (-25b + -15b2)) = 0

Combine like terms: -24b + -25b = -49b
(-40 + -49b + -15b2) = 0

Solving
-40 + -49b + -15b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(40 + 49b + 15b2) = 0

Factor a trinomial.
-1((5 + 3b)(8 + 5b)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 3b)' equal to zero and attempt to solve:

Simplifying
5 + 3b = 0

Solving
5 + 3b = 0

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

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

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

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

Divide each side by '3'.
b = -1.666666667

Simplifying
b = -1.666666667

Subproblem 2
Set the factor '(8 + 5b)' equal to zero and attempt to solve:

Simplifying
8 + 5b = 0

Solving
8 + 5b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5b = 0 + -8
5b = 0 + -8

Combine like terms: 0 + -8 = -8
5b = -8

Divide each side by '5'.
b = -1.6

Simplifying
b = -1.6
Solution
b = {-1.666666667, -1.6}

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