(3b-5)(7b+4)=

Solution for (3b-5)(7b+4)= equation:

Simplifying
(3b + -5)(7b + 4) = 0

Reorder the terms:
(-5 + 3b)(7b + 4) = 0

Reorder the terms:
(-5 + 3b)(4 + 7b) = 0

Multiply (-5 + 3b) * (4 + 7b)
(-5(4 + 7b) + 3b * (4 + 7b)) = 0
((4 * -5 + 7b * -5) + 3b * (4 + 7b)) = 0
((-20 + -35b) + 3b * (4 + 7b)) = 0
(-20 + -35b + (4 * 3b + 7b * 3b)) = 0
(-20 + -35b + (12b + 21b2)) = 0

Combine like terms: -35b + 12b = -23b
(-20 + -23b + 21b2) = 0

Solving
-20 + -23b + 21b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-4 + -7b = 0

Solving
-4 + -7b = 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 + -7b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7b = 0 + 4
-7b = 0 + 4

Combine like terms: 0 + 4 = 4
-7b = 4

Divide each side by '-7'.
b = -0.5714285714

Simplifying
b = -0.5714285714
Subproblem 2
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
Solution
b = {-0.5714285714, 1.666666667}