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

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

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

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

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

Multiply (-2 + 3c) * (5 + -2c)
(-2(5 + -2c) + 3c * (5 + -2c)) = 0
((5 * -2 + -2c * -2) + 3c * (5 + -2c)) = 0
((-10 + 4c) + 3c * (5 + -2c)) = 0
(-10 + 4c + (5 * 3c + -2c * 3c)) = 0
(-10 + 4c + (15c + -6c2)) = 0

Combine like terms: 4c + 15c = 19c
(-10 + 19c + -6c2) = 0

Solving
-10 + 19c + -6c2 = 0

Solving for variable 'c'.

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

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

Simplifying
-5 + 2c = 0

Solving
-5 + 2c = 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 + 2c = 0 + 5

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

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

Divide each side by '2'.
c = 2.5

Simplifying
c = 2.5
Subproblem 2
Set the factor '(2 + -3c)' equal to zero and attempt to solve:

Simplifying
2 + -3c = 0

Solving
2 + -3c = 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 + -3c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3c = 0 + -2
-3c = 0 + -2

Combine like terms: 0 + -2 = -2
-3c = -2

Divide each side by '-3'.
c = 0.6666666667

Simplifying
c = 0.6666666667
Solution
c = {2.5, 0.6666666667}