42b^2+b-30=0

Solution for 42b^2+b-30=0 equation:

Simplifying
42b2 + b + -30 = 0

Reorder the terms:
-30 + b + 42b2 = 0

Solving
-30 + b + 42b2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(-6 + -7b)' equal to zero and attempt to solve:

Simplifying
-6 + -7b = 0

Solving
-6 + -7b = 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 + -7b = 0 + 6

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

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

Divide each side by '-7'.
b = -0.8571428571

Simplifying
b = -0.8571428571
Subproblem 2
Set the factor '(5 + -6b)' equal to zero and attempt to solve:

Simplifying
5 + -6b = 0

Solving
5 + -6b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6b = 0 + -5
-6b = 0 + -5

Combine like terms: 0 + -5 = -5
-6b = -5

Divide each side by '-6'.
b = 0.8333333333

Simplifying
b = 0.8333333333
Solution
b = {-0.8571428571, 0.8333333333}