5b^2-37b+42=0

Solution for 5b^2-37b+42=0 equation:

Simplifying
5b2 + -37b + 42 = 0

Reorder the terms:
42 + -37b + 5b2 = 0

Solving
42 + -37b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(7 + -5b)(6 + -1b) = 0

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

Simplifying
7 + -5b = 0

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

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

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

Divide each side by '-5'.
b = 1.4

Simplifying
b = 1.4
Subproblem 2
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
Solution
b = {1.4, 6}