7b^2+33b-30=4b

Solution for 7b^2+33b-30=4b equation:

Simplifying
7b2 + 33b + -30 = 4b

Reorder the terms:
-30 + 33b + 7b2 = 4b

Solving
-30 + 33b + 7b2 = 4b

Solving for variable 'b'.

Reorder the terms:
-30 + 33b + -4b + 7b2 = 4b + -4b

Combine like terms: 33b + -4b = 29b
-30 + 29b + 7b2 = 4b + -4b

Combine like terms: 4b + -4b = 0
-30 + 29b + 7b2 = 0

Factor a trinomial.
(-5 + -1b)(6 + -7b) = 0

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

Simplifying
-5 + -1b = 0

Solving
-5 + -1b = 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 + -1b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1b = 0 + 5
-1b = 0 + 5

Combine like terms: 0 + 5 = 5
-1b = 5

Divide each side by '-1'.
b = -5

Simplifying
b = -5
Subproblem 2
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
Solution
b = {-5, 0.8571428571}