(9b+4)(7b-6)=

Solution for (9b+4)(7b-6)= equation:

Simplifying
(9b + 4)(7b + -6) = 0

Reorder the terms:
(4 + 9b)(7b + -6) = 0

Reorder the terms:
(4 + 9b)(-6 + 7b) = 0

Multiply (4 + 9b) * (-6 + 7b)
(4(-6 + 7b) + 9b * (-6 + 7b)) = 0
((-6 * 4 + 7b * 4) + 9b * (-6 + 7b)) = 0
((-24 + 28b) + 9b * (-6 + 7b)) = 0
(-24 + 28b + (-6 * 9b + 7b * 9b)) = 0
(-24 + 28b + (-54b + 63b2)) = 0

Combine like terms: 28b + -54b = -26b
(-24 + -26b + 63b2) = 0

Solving
-24 + -26b + 63b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-4 + -9b)(6 + -7b) = 0

Subproblem 1
Set the factor '(-4 + -9b)' equal to zero and attempt to solve:

Simplifying
-4 + -9b = 0

Solving
-4 + -9b = 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 + -9b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9b = 0 + 4
-9b = 0 + 4

Combine like terms: 0 + 4 = 4
-9b = 4

Divide each side by '-9'.
b = -0.4444444444

Simplifying
b = -0.4444444444
Subproblem 2
Set the factor '(6 + -7b)' equal to zero and attempt to solve:

Simplifying
6 + -7b = 0

Solving
6 + -7b = 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 + -7b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7b = 0 + -6
-7b = 0 + -6

Combine like terms: 0 + -6 = -6
-7b = -6

Divide each side by '-7'.
b = 0.8571428571

Simplifying
b = 0.8571428571
Solution
b = {-0.4444444444, 0.8571428571}