12b^2+13b-35=0

Solution for 12b^2+13b-35=0 equation:

Simplifying
12b2 + 13b + -35 = 0

Reorder the terms:
-35 + 13b + 12b2 = 0

Solving
-35 + 13b + 12b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -3b)(5 + -4b) = 0

Subproblem 1
Set the factor '(-7 + -3b)' equal to zero and attempt to solve:

Simplifying
-7 + -3b = 0

Solving
-7 + -3b = 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 + -3b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3b = 0 + 7
-3b = 0 + 7

Combine like terms: 0 + 7 = 7
-3b = 7

Divide each side by '-3'.
b = -2.333333333

Simplifying
b = -2.333333333
Subproblem 2
Set the factor '(5 + -4b)' equal to zero and attempt to solve:

Simplifying
5 + -4b = 0

Solving
5 + -4b = 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 + -4b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4b = 0 + -5
-4b = 0 + -5

Combine like terms: 0 + -5 = -5
-4b = -5

Divide each side by '-4'.
b = 1.25

Simplifying
b = 1.25
Solution
b = {-2.333333333, 1.25}