(6b-10)(4b-5)=

Solution for (6b-10)(4b-5)= equation:

Simplifying
(6b + -10)(4b + -5) = 0

Reorder the terms:
(-10 + 6b)(4b + -5) = 0

Reorder the terms:
(-10 + 6b)(-5 + 4b) = 0

Multiply (-10 + 6b) * (-5 + 4b)
(-10(-5 + 4b) + 6b * (-5 + 4b)) = 0
((-5 * -10 + 4b * -10) + 6b * (-5 + 4b)) = 0
((50 + -40b) + 6b * (-5 + 4b)) = 0
(50 + -40b + (-5 * 6b + 4b * 6b)) = 0
(50 + -40b + (-30b + 24b2)) = 0

Combine like terms: -40b + -30b = -70b
(50 + -70b + 24b2) = 0

Solving
50 + -70b + 24b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -35b + 12b2) = 0

Factor a trinomial.
2((5 + -4b)(5 + -3b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -4b)' equal to zero and attempt to solve:

Simplifying
5 + -4b = 0

Solving
5 + -4b = 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 + -4b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4b = 0 + -5
-4b = 0 + -5

Combine like terms: 0 + -5 = -5
-4b = -5

Divide each side by '-4'.
b = 1.25

Simplifying
b = 1.25
Subproblem 2
Set the factor '(5 + -3b)' equal to zero and attempt to solve:

Simplifying
5 + -3b = 0

Solving
5 + -3b = 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 + -3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3b = 0 + -5
-3b = 0 + -5

Combine like terms: 0 + -5 = -5
-3b = -5

Divide each side by '-3'.
b = 1.666666667

Simplifying
b = 1.666666667
Solution
b = {1.25, 1.666666667}