49b^2-84b-13=0

Solution for 49b^2-84b-13=0 equation:

Simplifying
49b2 + -84b + -13 = 0

Reorder the terms:
-13 + -84b + 49b2 = 0

Solving
-13 + -84b + 49b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -7b)(13 + -7b) = 0

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

Simplifying
-1 + -7b = 0

Solving
-1 + -7b = 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 + -7b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7b = 0 + 1
-7b = 0 + 1

Combine like terms: 0 + 1 = 1
-7b = 1

Divide each side by '-7'.
b = -0.1428571429

Simplifying
b = -0.1428571429
Subproblem 2
Set the factor '(13 + -7b)' equal to zero and attempt to solve:

Simplifying
13 + -7b = 0

Solving
13 + -7b = 0

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

Add '-13' to each side of the equation.
13 + -13 + -7b = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -7b = 0 + -13
-7b = 0 + -13

Combine like terms: 0 + -13 = -13
-7b = -13

Divide each side by '-7'.
b = 1.857142857

Simplifying
b = 1.857142857
Solution
b = {-0.1428571429, 1.857142857}