30b^2+7b-4=0

Solution for 30b^2+7b-4=0 equation:

Simplifying
30b2 + 7b + -4 = 0

Reorder the terms:
-4 + 7b + 30b2 = 0

Solving
-4 + 7b + 30b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -2b)(4 + -15b) = 0

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

Simplifying
-1 + -2b = 0

Solving
-1 + -2b = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2b = 0 + 1
-2b = 0 + 1

Combine like terms: 0 + 1 = 1
-2b = 1

Divide each side by '-2'.
b = -0.5

Simplifying
b = -0.5
Subproblem 2
Set the factor '(4 + -15b)' equal to zero and attempt to solve:

Simplifying
4 + -15b = 0

Solving
4 + -15b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -15b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -15b = 0 + -4
-15b = 0 + -4

Combine like terms: 0 + -4 = -4
-15b = -4

Divide each side by '-15'.
b = 0.2666666667

Simplifying
b = 0.2666666667
Solution
b = {-0.5, 0.2666666667}