-4b+10b(8b+5)=

Solution for -4b+10b(8b+5)= equation:

Simplifying
-4b + 10b(8b + 5) = 0

Reorder the terms:
-4b + 10b(5 + 8b) = 0
-4b + (5 * 10b + 8b * 10b) = 0
-4b + (50b + 80b2) = 0

Combine like terms: -4b + 50b = 46b
46b + 80b2 = 0

Solving
46b + 80b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(23 + 40b) = 0

Ignore the factor 2.
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 '(23 + 40b)' equal to zero and attempt to solve:

Simplifying
23 + 40b = 0

Solving
23 + 40b = 0

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

Add '-23' to each side of the equation.
23 + -23 + 40b = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 40b = 0 + -23
40b = 0 + -23

Combine like terms: 0 + -23 = -23
40b = -23

Divide each side by '40'.
b = -0.575

Simplifying
b = -0.575
Solution
b = {0, -0.575}