2b^2+19b+42=0

Solution for 2b^2+19b+42=0 equation:

Simplifying
2b2 + 19b + 42 = 0

Reorder the terms:
42 + 19b + 2b2 = 0

Solving
42 + 19b + 2b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(6 + b)(7 + 2b) = 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 + 2b)' equal to zero and attempt to solve:

Simplifying
7 + 2b = 0

Solving
7 + 2b = 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 + 2b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2b = 0 + -7
2b = 0 + -7

Combine like terms: 0 + -7 = -7
2b = -7

Divide each side by '2'.
b = -3.5

Simplifying
b = -3.5
Solution
b = {-6, -3.5}