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

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

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

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

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

Multiply (3 + 5c) * (-5 + 3c)
(3(-5 + 3c) + 5c * (-5 + 3c)) = 0
((-5 * 3 + 3c * 3) + 5c * (-5 + 3c)) = 0
((-15 + 9c) + 5c * (-5 + 3c)) = 0
(-15 + 9c + (-5 * 5c + 3c * 5c)) = 0
(-15 + 9c + (-25c + 15c2)) = 0

Combine like terms: 9c + -25c = -16c
(-15 + -16c + 15c2) = 0

Solving
-15 + -16c + 15c2 = 0

Solving for variable 'c'.

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

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

Simplifying
5 + -3c = 0

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

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

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

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

Simplifying
c = 1.666666667
Solution
c = {-0.6, 1.666666667}