=(5b-12)(2b+9)

Solution for =(5b-12)(2b+9) equation:

Simplifying
0 = (5b + -12)(2b + 9)

Reorder the terms:
0 = (-12 + 5b)(2b + 9)

Reorder the terms:
0 = (-12 + 5b)(9 + 2b)

Multiply (-12 + 5b) * (9 + 2b)
0 = (-12(9 + 2b) + 5b * (9 + 2b))
0 = ((9 * -12 + 2b * -12) + 5b * (9 + 2b))
0 = ((-108 + -24b) + 5b * (9 + 2b))
0 = (-108 + -24b + (9 * 5b + 2b * 5b))
0 = (-108 + -24b + (45b + 10b2))

Combine like terms: -24b + 45b = 21b
0 = (-108 + 21b + 10b2)

Solving
0 = -108 + 21b + 10b2

Solving for variable 'b'.

Combine like terms: 0 + 108 = 108
108 + -21b + -10b2 = -108 + 21b + 10b2 + 108 + -21b + -10b2

Reorder the terms:
108 + -21b + -10b2 = -108 + 108 + 21b + -21b + 10b2 + -10b2

Combine like terms: -108 + 108 = 0
108 + -21b + -10b2 = 0 + 21b + -21b + 10b2 + -10b2
108 + -21b + -10b2 = 21b + -21b + 10b2 + -10b2

Combine like terms: 21b + -21b = 0
108 + -21b + -10b2 = 0 + 10b2 + -10b2
108 + -21b + -10b2 = 10b2 + -10b2

Combine like terms: 10b2 + -10b2 = 0
108 + -21b + -10b2 = 0

Factor a trinomial.
(12 + -5b)(9 + 2b) = 0

Subproblem 1
Set the factor '(12 + -5b)' equal to zero and attempt to solve:

Simplifying
12 + -5b = 0

Solving
12 + -5b = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5b = 0 + -12
-5b = 0 + -12

Combine like terms: 0 + -12 = -12
-5b = -12

Divide each side by '-5'.
b = 2.4

Simplifying
b = 2.4
Subproblem 2
Set the factor '(9 + 2b)' equal to zero and attempt to solve:

Simplifying
9 + 2b = 0

Solving
9 + 2b = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2b = 0 + -9
2b = 0 + -9

Combine like terms: 0 + -9 = -9
2b = -9

Divide each side by '2'.
b = -4.5

Simplifying
b = -4.5
Solution
b = {2.4, -4.5}