49b^2-161b-140=0

Solution for 49b^2-161b-140=0 equation:

Simplifying
49b2 + -161b + -140 = 0

Reorder the terms:
-140 + -161b + 49b2 = 0

Solving
-140 + -161b + 49b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-20 + -23b + 7b2) = 0

Factor a trinomial.
7((-5 + -7b)(4 + -1b)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-5 + -7b)' equal to zero and attempt to solve:

Simplifying
-5 + -7b = 0

Solving
-5 + -7b = 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 + -7b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7b = 0 + 5
-7b = 0 + 5

Combine like terms: 0 + 5 = 5
-7b = 5

Divide each side by '-7'.
b = -0.7142857143

Simplifying
b = -0.7142857143
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-0.7142857143, 4}