(4c-2)*(5c+4)=

Solution for (4c-2)*(5c+4)= equation:

Simplifying
(4c + -2)(5c + 4) = 0

Reorder the terms:
(-2 + 4c)(5c + 4) = 0

Reorder the terms:
(-2 + 4c)(4 + 5c) = 0

Multiply (-2 + 4c) * (4 + 5c)
(-2(4 + 5c) + 4c * (4 + 5c)) = 0
((4 * -2 + 5c * -2) + 4c * (4 + 5c)) = 0
((-8 + -10c) + 4c * (4 + 5c)) = 0
(-8 + -10c + (4 * 4c + 5c * 4c)) = 0
(-8 + -10c + (16c + 20c2)) = 0

Combine like terms: -10c + 16c = 6c
(-8 + 6c + 20c2) = 0

Solving
-8 + 6c + 20c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 3c + 10c2) = 0

Factor a trinomial.
2((-4 + -5c)(1 + -2c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -5c)' equal to zero and attempt to solve:

Simplifying
-4 + -5c = 0

Solving
-4 + -5c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5c = 0 + 4
-5c = 0 + 4

Combine like terms: 0 + 4 = 4
-5c = 4

Divide each side by '-5'.
c = -0.8

Simplifying
c = -0.8
Subproblem 2
Set the factor '(1 + -2c)' equal to zero and attempt to solve:

Simplifying
1 + -2c = 0

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

Combine like terms: 1 + -1 = 0
0 + -2c = 0 + -1
-2c = 0 + -1

Combine like terms: 0 + -1 = -1
-2c = -1

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5
Solution
c = {-0.8, 0.5}