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

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

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

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

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

Multiply (-5 + 4c) * (6 + 5c)
(-5(6 + 5c) + 4c * (6 + 5c)) = 0
((6 * -5 + 5c * -5) + 4c * (6 + 5c)) = 0
((-30 + -25c) + 4c * (6 + 5c)) = 0
(-30 + -25c + (6 * 4c + 5c * 4c)) = 0
(-30 + -25c + (24c + 20c2)) = 0

Combine like terms: -25c + 24c = -1c
(-30 + -1c + 20c2) = 0

Solving
-30 + -1c + 20c2 = 0

Solving for variable 'c'.

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

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

Simplifying
5 + -4c = 0

Solving
5 + -4c = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4c = 0 + -5

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

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

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

Simplifying
c = 1.25
Solution
c = {-1.2, 1.25}