7b^2+40b-12=0

Solution for 7b^2+40b-12=0 equation:

Simplifying
7b2 + 40b + -12 = 0

Reorder the terms:
-12 + 40b + 7b2 = 0

Solving
-12 + 40b + 7b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-6 + -1b = 0

Solving
-6 + -1b = 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 + -1b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1b = 0 + 6
-1b = 0 + 6

Combine like terms: 0 + 6 = 6
-1b = 6

Divide each side by '-1'.
b = -6

Simplifying
b = -6
Subproblem 2
Set the factor '(2 + -7b)' equal to zero and attempt to solve:

Simplifying
2 + -7b = 0

Solving
2 + -7b = 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 + -7b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7b = 0 + -2
-7b = 0 + -2

Combine like terms: 0 + -2 = -2
-7b = -2

Divide each side by '-7'.
b = 0.2857142857

Simplifying
b = 0.2857142857
Solution
b = {-6, 0.2857142857}