-14-6b^2-19b=0

Solution for -14-6b^2-19b=0 equation:

Simplifying
-14 + -6b2 + -19b = 0

Reorder the terms:
-14 + -19b + -6b2 = 0

Solving
-14 + -19b + -6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 19b + 6b2) = 0

Factor a trinomial.
-1((2 + b)(7 + 6b)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

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

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

Simplifying
b = -2
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 = {-2, -1.166666667}