8b^2+43b=-42+2b^2

Solution for 8b^2+43b=-42+2b^2 equation:

Simplifying
8b2 + 43b = -42 + 2b2

Reorder the terms:
43b + 8b2 = -42 + 2b2

Solving
43b + 8b2 = -42 + 2b2

Solving for variable 'b'.

Reorder the terms:
42 + 43b + 8b2 + -2b2 = -42 + 2b2 + 42 + -2b2

Combine like terms: 8b2 + -2b2 = 6b2
42 + 43b + 6b2 = -42 + 2b2 + 42 + -2b2

Reorder the terms:
42 + 43b + 6b2 = -42 + 42 + 2b2 + -2b2

Combine like terms: -42 + 42 = 0
42 + 43b + 6b2 = 0 + 2b2 + -2b2
42 + 43b + 6b2 = 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
42 + 43b + 6b2 = 0

Factor a trinomial.
(6 + b)(7 + 6b) = 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 '(7 + 6b)' equal to zero and attempt to solve:

Simplifying
7 + 6b = 0

Solving
7 + 6b = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6b = 0 + -7

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

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

Divide each side by '6'.
b = -1.166666667

Simplifying
b = -1.166666667
Solution
b = {-6, -1.166666667}