(5c+6)(6c+5)=

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

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

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

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

Multiply (6 + 5c) * (5 + 6c)
(6(5 + 6c) + 5c * (5 + 6c)) = 0
((5 * 6 + 6c * 6) + 5c * (5 + 6c)) = 0
((30 + 36c) + 5c * (5 + 6c)) = 0
(30 + 36c + (5 * 5c + 6c * 5c)) = 0
(30 + 36c + (25c + 30c2)) = 0

Combine like terms: 36c + 25c = 61c
(30 + 61c + 30c2) = 0

Solving
30 + 61c + 30c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6 + 5c)(5 + 6c) = 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 + 6c)' equal to zero and attempt to solve:

Simplifying
5 + 6c = 0

Solving
5 + 6c = 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 + 6c = 0 + -5

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

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

Divide each side by '6'.
c = -0.8333333333

Simplifying
c = -0.8333333333
Solution
c = {-1.2, -0.8333333333}