0=7b^2+50b+48

Solution for 0=7b^2+50b+48 equation:

Simplifying
0 = 7b2 + 50b + 48

Reorder the terms:
0 = 48 + 50b + 7b2

Solving
0 = 48 + 50b + 7b2

Solving for variable 'b'.

Combine like terms: 0 + -48 = -48
-48 + -50b + -7b2 = 48 + 50b + 7b2 + -48 + -50b + -7b2

Reorder the terms:
-48 + -50b + -7b2 = 48 + -48 + 50b + -50b + 7b2 + -7b2

Combine like terms: 48 + -48 = 0
-48 + -50b + -7b2 = 0 + 50b + -50b + 7b2 + -7b2
-48 + -50b + -7b2 = 50b + -50b + 7b2 + -7b2

Combine like terms: 50b + -50b = 0
-48 + -50b + -7b2 = 0 + 7b2 + -7b2
-48 + -50b + -7b2 = 7b2 + -7b2

Combine like terms: 7b2 + -7b2 = 0
-48 + -50b + -7b2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(48 + 50b + 7b2) = 0

Factor a trinomial.
-1((6 + b)(8 + 7b)) = 0

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

Simplifying
6 + b = 0

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

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

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

Simplifying
b = -6
Subproblem 2
Set the factor '(8 + 7b)' equal to zero and attempt to solve:

Simplifying
8 + 7b = 0

Solving
8 + 7b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7b = 0 + -8
7b = 0 + -8

Combine like terms: 0 + -8 = -8
7b = -8

Divide each side by '7'.
b = -1.142857143

Simplifying
b = -1.142857143
Solution
b = {-6, -1.142857143}