-8b-[5b(7b-9b)]-[-3+(20b+3)]=0

Solution for -8b-[5b(7b-9b)]-[-3+(20b+3)]=0 equation:

Simplifying
-8b + -1[5b(7b + -9b)] + -1[-3 + (20b + 3)] = 0

Combine like terms: 7b + -9b = -2b
-8b + -1[5b(-2b)] + -1[-3 + (20b + 3)] = 0

Remove parenthesis around (-2b)
-8b + -1[5b * -2b] + -1[-3 + (20b + 3)] = 0

Reorder the terms for easier multiplication:
-8b + -1[5 * -2b * b] + -1[-3 + (20b + 3)] = 0

Multiply 5 * -2
-8b + -1[-10b * b] + -1[-3 + (20b + 3)] = 0

Multiply b * b
-8b + -1[-10b2] + -1[-3 + (20b + 3)] = 0

Remove brackets around [-10b2]
-8b + -1 * -10b2 + -1[-3 + (20b + 3)] = 0

Multiply -1 * -10
-8b + 10b2 + -1[-3 + (20b + 3)] = 0

Reorder the terms:
-8b + 10b2 + -1[-3 + (3 + 20b)] = 0

Remove parenthesis around (3 + 20b)
-8b + 10b2 + -1[-3 + 3 + 20b] = 0

Combine like terms: -3 + 3 = 0
-8b + 10b2 + -1[0 + 20b] = 0
-8b + 10b2 + -1[20b] = 0

Remove brackets around [20b]
-8b + 10b2 + -1 * 20b = 0

Multiply -1 * 20
-8b + 10b2 + -20b = 0

Reorder the terms:
-8b + -20b + 10b2 = 0

Combine like terms: -8b + -20b = -28b
-28b + 10b2 = 0

Solving
-28b + 10b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-14 + 5b) = 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 '(-14 + 5b)' equal to zero and attempt to solve:

Simplifying
-14 + 5b = 0

Solving
-14 + 5b = 0

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

Add '14' to each side of the equation.
-14 + 14 + 5b = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 5b = 0 + 14
5b = 0 + 14

Combine like terms: 0 + 14 = 14
5b = 14

Divide each side by '5'.
b = 2.8

Simplifying
b = 2.8
Solution
b = {0, 2.8}