(8b-4)(7b-3)=

Solution for (8b-4)(7b-3)= equation:

Simplifying
(8b + -4)(7b + -3) = 0

Reorder the terms:
(-4 + 8b)(7b + -3) = 0

Reorder the terms:
(-4 + 8b)(-3 + 7b) = 0

Multiply (-4 + 8b) * (-3 + 7b)
(-4(-3 + 7b) + 8b * (-3 + 7b)) = 0
((-3 * -4 + 7b * -4) + 8b * (-3 + 7b)) = 0
((12 + -28b) + 8b * (-3 + 7b)) = 0
(12 + -28b + (-3 * 8b + 7b * 8b)) = 0
(12 + -28b + (-24b + 56b2)) = 0

Combine like terms: -28b + -24b = -52b
(12 + -52b + 56b2) = 0

Solving
12 + -52b + 56b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -13b + 14b2) = 0

Factor a trinomial.
4((3 + -7b)(1 + -2b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -7b)' equal to zero and attempt to solve:

Simplifying
3 + -7b = 0

Solving
3 + -7b = 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 + -7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7b = 0 + -3
-7b = 0 + -3

Combine like terms: 0 + -3 = -3
-7b = -3

Divide each side by '-7'.
b = 0.4285714286

Simplifying
b = 0.4285714286
Subproblem 2
Set the factor '(1 + -2b)' equal to zero and attempt to solve:

Simplifying
1 + -2b = 0

Solving
1 + -2b = 0

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

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

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

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

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5
Solution
b = {0.4285714286, 0.5}