(5b-2)(6b+4)=

Solution for (5b-2)(6b+4)= equation:

Simplifying
(5b + -2)(6b + 4) = 0

Reorder the terms:
(-2 + 5b)(6b + 4) = 0

Reorder the terms:
(-2 + 5b)(4 + 6b) = 0

Multiply (-2 + 5b) * (4 + 6b)
(-2(4 + 6b) + 5b * (4 + 6b)) = 0
((4 * -2 + 6b * -2) + 5b * (4 + 6b)) = 0
((-8 + -12b) + 5b * (4 + 6b)) = 0
(-8 + -12b + (4 * 5b + 6b * 5b)) = 0
(-8 + -12b + (20b + 30b2)) = 0

Combine like terms: -12b + 20b = 8b
(-8 + 8b + 30b2) = 0

Solving
-8 + 8b + 30b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4b + 15b2) = 0

Factor a trinomial.
2((-2 + -3b)(2 + -5b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-2 + -3b)' equal to zero and attempt to solve:

Simplifying
-2 + -3b = 0

Solving
-2 + -3b = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3b = 0 + 2

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

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

Divide each side by '-3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Subproblem 2
Set the factor '(2 + -5b)' equal to zero and attempt to solve:

Simplifying
2 + -5b = 0

Solving
2 + -5b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5b = 0 + -2
-5b = 0 + -2

Combine like terms: 0 + -2 = -2
-5b = -2

Divide each side by '-5'.
b = 0.4

Simplifying
b = 0.4
Solution
b = {-0.6666666667, 0.4}