0=-43b-7b^2-6

Solution for 0=-43b-7b^2-6 equation:

Simplifying
0 = -43b + -7b2 + -6

Reorder the terms:
0 = -6 + -43b + -7b2

Solving
0 = -6 + -43b + -7b2

Solving for variable 'b'.

Combine like terms: 0 + 6 = 6
6 + 43b + 7b2 = -6 + -43b + -7b2 + 6 + 43b + 7b2

Reorder the terms:
6 + 43b + 7b2 = -6 + 6 + -43b + 43b + -7b2 + 7b2

Combine like terms: -6 + 6 = 0
6 + 43b + 7b2 = 0 + -43b + 43b + -7b2 + 7b2
6 + 43b + 7b2 = -43b + 43b + -7b2 + 7b2

Combine like terms: -43b + 43b = 0
6 + 43b + 7b2 = 0 + -7b2 + 7b2
6 + 43b + 7b2 = -7b2 + 7b2

Combine like terms: -7b2 + 7b2 = 0
6 + 43b + 7b2 = 0

Factor a trinomial.
(6 + b)(1 + 7b) = 0

Subproblem 1
Set the factor '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

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

Add '-6' to each side of the equation.
6 + -6 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Subproblem 2
Set the factor '(1 + 7b)' equal to zero and attempt to solve:

Simplifying
1 + 7b = 0

Solving
1 + 7b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7b = 0 + -1
7b = 0 + -1

Combine like terms: 0 + -1 = -1
7b = -1

Divide each side by '7'.
b = -0.1428571429

Simplifying
b = -0.1428571429
Solution
b = {-6, -0.1428571429}