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

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

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

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

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

Multiply (6 + 4b) * (-4 + b)
(6(-4 + b) + 4b * (-4 + b)) = 0
((-4 * 6 + b * 6) + 4b * (-4 + b)) = 0
((-24 + 6b) + 4b * (-4 + b)) = 0
(-24 + 6b + (-4 * 4b + b * 4b)) = 0
(-24 + 6b + (-16b + 4b2)) = 0

Combine like terms: 6b + -16b = -10b
(-24 + -10b + 4b2) = 0

Solving
-24 + -10b + 4b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -5b + 2b2) = 0

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

Ignore the factor 2.
Subproblem 1
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
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 = {-1.5, 4}