(5c+3)(5c-2)=

Solution for (5c+3)(5c-2)= equation:

Simplifying
(5c + 3)(5c + -2) = 0

Reorder the terms:
(3 + 5c)(5c + -2) = 0

Reorder the terms:
(3 + 5c)(-2 + 5c) = 0

Multiply (3 + 5c) * (-2 + 5c)
(3(-2 + 5c) + 5c * (-2 + 5c)) = 0
((-2 * 3 + 5c * 3) + 5c * (-2 + 5c)) = 0
((-6 + 15c) + 5c * (-2 + 5c)) = 0
(-6 + 15c + (-2 * 5c + 5c * 5c)) = 0
(-6 + 15c + (-10c + 25c2)) = 0

Combine like terms: 15c + -10c = 5c
(-6 + 5c + 25c2) = 0

Solving
-6 + 5c + 25c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3 + -5c)(2 + -5c) = 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 '(2 + -5c)' equal to zero and attempt to solve:

Simplifying
2 + -5c = 0

Solving
2 + -5c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5c = 0 + -2
-5c = 0 + -2

Combine like terms: 0 + -2 = -2
-5c = -2

Divide each side by '-5'.
c = 0.4

Simplifying
c = 0.4
Solution
c = {-0.6, 0.4}