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

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

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

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

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

Multiply (-4 + 7b) * (-9 + 6b)
(-4(-9 + 6b) + 7b * (-9 + 6b)) = 0
((-9 * -4 + 6b * -4) + 7b * (-9 + 6b)) = 0
((36 + -24b) + 7b * (-9 + 6b)) = 0
(36 + -24b + (-9 * 7b + 6b * 7b)) = 0
(36 + -24b + (-63b + 42b2)) = 0

Combine like terms: -24b + -63b = -87b
(36 + -87b + 42b2) = 0

Solving
36 + -87b + 42b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -29b + 14b2) = 0

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

Ignore the factor 3.
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 '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 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 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Solution
b = {0.5714285714, 1.5}