3b^2-11b+10=(3b-5)

Solution for 3b^2-11b+10=(3b-5) equation:

Simplifying
3b2 + -11b + 10 = (3b + -5)

Reorder the terms:
10 + -11b + 3b2 = (3b + -5)

Reorder the terms:
10 + -11b + 3b2 = (-5 + 3b)

Remove parenthesis around (-5 + 3b)
10 + -11b + 3b2 = -5 + 3b

Solving
10 + -11b + 3b2 = -5 + 3b

Solving for variable 'b'.

Reorder the terms:
10 + 5 + -11b + -3b + 3b2 = -5 + 3b + 5 + -3b

Combine like terms: 10 + 5 = 15
15 + -11b + -3b + 3b2 = -5 + 3b + 5 + -3b

Combine like terms: -11b + -3b = -14b
15 + -14b + 3b2 = -5 + 3b + 5 + -3b

Reorder the terms:
15 + -14b + 3b2 = -5 + 5 + 3b + -3b

Combine like terms: -5 + 5 = 0
15 + -14b + 3b2 = 0 + 3b + -3b
15 + -14b + 3b2 = 3b + -3b

Combine like terms: 3b + -3b = 0
15 + -14b + 3b2 = 0

Factor a trinomial.
(5 + -3b)(3 + -1b) = 0

Subproblem 1
Set the factor '(5 + -3b)' equal to zero and attempt to solve:

Simplifying
5 + -3b = 0

Solving
5 + -3b = 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 + -3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3b = 0 + -5
-3b = 0 + -5

Combine like terms: 0 + -5 = -5
-3b = -5

Divide each side by '-3'.
b = 1.666666667

Simplifying
b = 1.666666667
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {1.666666667, 3}