(b+2)(7b-2)=0

Solution for (b+2)(7b-2)=0 equation:

Simplifying
(b + 2)(7b + -2) = 0

Reorder the terms:
(2 + b)(7b + -2) = 0

Reorder the terms:
(2 + b)(-2 + 7b) = 0

Multiply (2 + b) * (-2 + 7b)
(2(-2 + 7b) + b(-2 + 7b)) = 0
((-2 * 2 + 7b * 2) + b(-2 + 7b)) = 0
((-4 + 14b) + b(-2 + 7b)) = 0
(-4 + 14b + (-2 * b + 7b * b)) = 0
(-4 + 14b + (-2b + 7b2)) = 0

Combine like terms: 14b + -2b = 12b
(-4 + 12b + 7b2) = 0

Solving
-4 + 12b + 7b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2 + -1b)(2 + -7b) = 0

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

Simplifying
-2 + -1b = 0

Solving
-2 + -1b = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b = 0 + 2
-1b = 0 + 2

Combine like terms: 0 + 2 = 2
-1b = 2

Divide each side by '-1'.
b = -2

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

Simplifying
2 + -7b = 0

Solving
2 + -7b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7b = 0 + -2
-7b = 0 + -2

Combine like terms: 0 + -2 = -2
-7b = -2

Divide each side by '-7'.
b = 0.2857142857

Simplifying
b = 0.2857142857
Solution
b = {-2, 0.2857142857}