3b^2-8b-43=8

Solution for 3b^2-8b-43=8 equation:

Simplifying
3b2 + -8b + -43 = 8

Reorder the terms:
-43 + -8b + 3b2 = 8

Solving
-43 + -8b + 3b2 = 8

Solving for variable 'b'.

Reorder the terms:
-43 + -8 + -8b + 3b2 = 8 + -8

Combine like terms: -43 + -8 = -51
-51 + -8b + 3b2 = 8 + -8

Combine like terms: 8 + -8 = 0
-51 + -8b + 3b2 = 0

Factor a trinomial.
(-3 + -1b)(17 + -3b) = 0

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

Simplifying
-3 + -1b = 0

Solving
-3 + -1b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1b = 0 + 3
-1b = 0 + 3

Combine like terms: 0 + 3 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3
Subproblem 2
Set the factor '(17 + -3b)' equal to zero and attempt to solve:

Simplifying
17 + -3b = 0

Solving
17 + -3b = 0

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

Add '-17' to each side of the equation.
17 + -17 + -3b = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -3b = 0 + -17
-3b = 0 + -17

Combine like terms: 0 + -17 = -17
-3b = -17

Divide each side by '-3'.
b = 5.666666667

Simplifying
b = 5.666666667
Solution
b = {-3, 5.666666667}