30b^2-19b-63=0

Solution for 30b^2-19b-63=0 equation:

Simplifying
30b2 + -19b + -63 = 0

Reorder the terms:
-63 + -19b + 30b2 = 0

Solving
-63 + -19b + 30b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -6b)(9 + -5b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -5b)' equal to zero and attempt to solve:

Simplifying
9 + -5b = 0

Solving
9 + -5b = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5b = 0 + -9
-5b = 0 + -9

Combine like terms: 0 + -9 = -9
-5b = -9

Divide each side by '-5'.
b = 1.8

Simplifying
b = 1.8
Solution
b = {-1.166666667, 1.8}