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

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

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

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

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

Multiply (-3 + 5c) * (5 + 6c)
(-3(5 + 6c) + 5c * (5 + 6c)) = 0
((5 * -3 + 6c * -3) + 5c * (5 + 6c)) = 0
((-15 + -18c) + 5c * (5 + 6c)) = 0
(-15 + -18c + (5 * 5c + 6c * 5c)) = 0
(-15 + -18c + (25c + 30c2)) = 0

Combine like terms: -18c + 25c = 7c
(-15 + 7c + 30c2) = 0

Solving
-15 + 7c + 30c2 = 0

Solving for variable 'c'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -5c)' equal to zero and attempt to solve:

Simplifying
3 + -5c = 0

Solving
3 + -5c = 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 + -5c = 0 + -3

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

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

Divide each side by '-5'.
c = 0.6

Simplifying
c = 0.6
Solution
c = {-0.8333333333, 0.6}