(5c-2)(3c+1)=

Solution for (5c-2)(3c+1)= equation:

Simplifying
(5c + -2)(3c + 1) = 0

Reorder the terms:
(-2 + 5c)(3c + 1) = 0

Reorder the terms:
(-2 + 5c)(1 + 3c) = 0

Multiply (-2 + 5c) * (1 + 3c)
(-2(1 + 3c) + 5c * (1 + 3c)) = 0
((1 * -2 + 3c * -2) + 5c * (1 + 3c)) = 0
((-2 + -6c) + 5c * (1 + 3c)) = 0
(-2 + -6c + (1 * 5c + 3c * 5c)) = 0
(-2 + -6c + (5c + 15c2)) = 0

Combine like terms: -6c + 5c = -1c
(-2 + -1c + 15c2) = 0

Solving
-2 + -1c + 15c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -3c)(2 + -5c) = 0

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

Simplifying
-1 + -3c = 0

Solving
-1 + -3c = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3c = 0 + 1
-3c = 0 + 1

Combine like terms: 0 + 1 = 1
-3c = 1

Divide each side by '-3'.
c = -0.3333333333

Simplifying
c = -0.3333333333
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 = {-0.3333333333, 0.4}