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

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

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

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

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

Multiply (2 + -6b) * (-5 + 6b)
(2(-5 + 6b) + -6b * (-5 + 6b)) = 0
((-5 * 2 + 6b * 2) + -6b * (-5 + 6b)) = 0
((-10 + 12b) + -6b * (-5 + 6b)) = 0
(-10 + 12b + (-5 * -6b + 6b * -6b)) = 0
(-10 + 12b + (30b + -36b2)) = 0

Combine like terms: 12b + 30b = 42b
(-10 + 42b + -36b2) = 0

Solving
-10 + 42b + -36b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 21b + -18b2) = 0

Factor a trinomial.
2((-5 + 6b)(1 + -3b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + 6b)' equal to zero and attempt to solve:

Simplifying
-5 + 6b = 0

Solving
-5 + 6b = 0

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

Add '5' to each side of the equation.
-5 + 5 + 6b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6b = 0 + 5
6b = 0 + 5

Combine like terms: 0 + 5 = 5
6b = 5

Divide each side by '6'.
b = 0.8333333333

Simplifying
b = 0.8333333333
Subproblem 2
Set the factor '(1 + -3b)' equal to zero and attempt to solve:

Simplifying
1 + -3b = 0

Solving
1 + -3b = 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 + -3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3b = 0 + -1
-3b = 0 + -1

Combine like terms: 0 + -1 = -1
-3b = -1

Divide each side by '-3'.
b = 0.3333333333

Simplifying
b = 0.3333333333
Solution
b = {0.8333333333, 0.3333333333}