21b^2-7b-21=-1+6b

Solution for 21b^2-7b-21=-1+6b equation:

Simplifying
21b2 + -7b + -21 = -1 + 6b

Reorder the terms:
-21 + -7b + 21b2 = -1 + 6b

Solving
-21 + -7b + 21b2 = -1 + 6b

Solving for variable 'b'.

Reorder the terms:
-21 + 1 + -7b + -6b + 21b2 = -1 + 6b + 1 + -6b

Combine like terms: -21 + 1 = -20
-20 + -7b + -6b + 21b2 = -1 + 6b + 1 + -6b

Combine like terms: -7b + -6b = -13b
-20 + -13b + 21b2 = -1 + 6b + 1 + -6b

Reorder the terms:
-20 + -13b + 21b2 = -1 + 1 + 6b + -6b

Combine like terms: -1 + 1 = 0
-20 + -13b + 21b2 = 0 + 6b + -6b
-20 + -13b + 21b2 = 6b + -6b

Combine like terms: 6b + -6b = 0
-20 + -13b + 21b2 = 0

Factor a trinomial.
(-5 + -7b)(4 + -3b) = 0

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 + -3b)' equal to zero and attempt to solve:

Simplifying
4 + -3b = 0

Solving
4 + -3b = 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 + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3b = 0 + -4
-3b = 0 + -4

Combine like terms: 0 + -4 = -4
-3b = -4

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333
Solution
b = {-0.7142857143, 1.333333333}