(5b-1)(3b+2)=

Solution for (5b-1)(3b+2)= equation:

Simplifying
(5b + -1)(3b + 2) = 0

Reorder the terms:
(-1 + 5b)(3b + 2) = 0

Reorder the terms:
(-1 + 5b)(2 + 3b) = 0

Multiply (-1 + 5b) * (2 + 3b)
(-1(2 + 3b) + 5b * (2 + 3b)) = 0
((2 * -1 + 3b * -1) + 5b * (2 + 3b)) = 0
((-2 + -3b) + 5b * (2 + 3b)) = 0
(-2 + -3b + (2 * 5b + 3b * 5b)) = 0
(-2 + -3b + (10b + 15b2)) = 0

Combine like terms: -3b + 10b = 7b
(-2 + 7b + 15b2) = 0

Solving
-2 + 7b + 15b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2 + -3b)(1 + -5b) = 0

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 '(1 + -5b)' equal to zero and attempt to solve:

Simplifying
1 + -5b = 0

Solving
1 + -5b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5b = 0 + -1
-5b = 0 + -1

Combine like terms: 0 + -1 = -1
-5b = -1

Divide each side by '-5'.
b = 0.2

Simplifying
b = 0.2
Solution
b = {-0.6666666667, 0.2}