(4c-3)(5c-6)=

Solution for (4c-3)(5c-6)= equation:

Simplifying
(4c + -3)(5c + -6) = 0

Reorder the terms:
(-3 + 4c)(5c + -6) = 0

Reorder the terms:
(-3 + 4c)(-6 + 5c) = 0

Multiply (-3 + 4c) * (-6 + 5c)
(-3(-6 + 5c) + 4c * (-6 + 5c)) = 0
((-6 * -3 + 5c * -3) + 4c * (-6 + 5c)) = 0
((18 + -15c) + 4c * (-6 + 5c)) = 0
(18 + -15c + (-6 * 4c + 5c * 4c)) = 0
(18 + -15c + (-24c + 20c2)) = 0

Combine like terms: -15c + -24c = -39c
(18 + -39c + 20c2) = 0

Solving
18 + -39c + 20c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3 + -4c)(6 + -5c) = 0

Subproblem 1
Set the factor '(3 + -4c)' equal to zero and attempt to solve:

Simplifying
3 + -4c = 0

Solving
3 + -4c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4c = 0 + -3
-4c = 0 + -3

Combine like terms: 0 + -3 = -3
-4c = -3

Divide each side by '-4'.
c = 0.75

Simplifying
c = 0.75
Subproblem 2
Set the factor '(6 + -5c)' equal to zero and attempt to solve:

Simplifying
6 + -5c = 0

Solving
6 + -5c = 0

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

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

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

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

Divide each side by '-5'.
c = 1.2

Simplifying
c = 1.2
Solution
c = {0.75, 1.2}