(2b-8)(13b-6)=

Solution for (2b-8)(13b-6)= equation:

Simplifying
(2b + -8)(13b + -6) = 0

Reorder the terms:
(-8 + 2b)(13b + -6) = 0

Reorder the terms:
(-8 + 2b)(-6 + 13b) = 0

Multiply (-8 + 2b) * (-6 + 13b)
(-8(-6 + 13b) + 2b * (-6 + 13b)) = 0
((-6 * -8 + 13b * -8) + 2b * (-6 + 13b)) = 0
((48 + -104b) + 2b * (-6 + 13b)) = 0
(48 + -104b + (-6 * 2b + 13b * 2b)) = 0
(48 + -104b + (-12b + 26b2)) = 0

Combine like terms: -104b + -12b = -116b
(48 + -116b + 26b2) = 0

Solving
48 + -116b + 26b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -58b + 13b2) = 0

Factor a trinomial.
2((6 + -13b)(4 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -13b)' equal to zero and attempt to solve:

Simplifying
6 + -13b = 0

Solving
6 + -13b = 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 + -13b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -13b = 0 + -6
-13b = 0 + -6

Combine like terms: 0 + -6 = -6
-13b = -6

Divide each side by '-13'.
b = 0.4615384615

Simplifying
b = 0.4615384615
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {0.4615384615, 4}