2b^2-17b+37=7

Solution for 2b^2-17b+37=7 equation:

Simplifying
2b2 + -17b + 37 = 7

Reorder the terms:
37 + -17b + 2b2 = 7

Solving
37 + -17b + 2b2 = 7

Solving for variable 'b'.

Reorder the terms:
37 + -7 + -17b + 2b2 = 7 + -7

Combine like terms: 37 + -7 = 30
30 + -17b + 2b2 = 7 + -7

Combine like terms: 7 + -7 = 0
30 + -17b + 2b2 = 0

Factor a trinomial.
(5 + -2b)(6 + -1b) = 0

Subproblem 1
Set the factor '(5 + -2b)' equal to zero and attempt to solve:

Simplifying
5 + -2b = 0

Solving
5 + -2b = 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 + -2b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2b = 0 + -5
-2b = 0 + -5

Combine like terms: 0 + -5 = -5
-2b = -5

Divide each side by '-2'.
b = 2.5

Simplifying
b = 2.5
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 = {2.5, 6}