(5c+4)(8c-1)=

Solution for (5c+4)(8c-1)= equation:

Simplifying
(5c + 4)(8c + -1) = 0

Reorder the terms:
(4 + 5c)(8c + -1) = 0

Reorder the terms:
(4 + 5c)(-1 + 8c) = 0

Multiply (4 + 5c) * (-1 + 8c)
(4(-1 + 8c) + 5c * (-1 + 8c)) = 0
((-1 * 4 + 8c * 4) + 5c * (-1 + 8c)) = 0
((-4 + 32c) + 5c * (-1 + 8c)) = 0
(-4 + 32c + (-1 * 5c + 8c * 5c)) = 0
(-4 + 32c + (-5c + 40c2)) = 0

Combine like terms: 32c + -5c = 27c
(-4 + 27c + 40c2) = 0

Solving
-4 + 27c + 40c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-4 + -5c)(1 + -8c) = 0

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 + -8c)' equal to zero and attempt to solve:

Simplifying
1 + -8c = 0

Solving
1 + -8c = 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 + -8c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8c = 0 + -1
-8c = 0 + -1

Combine like terms: 0 + -1 = -1
-8c = -1

Divide each side by '-8'.
c = 0.125

Simplifying
c = 0.125
Solution
c = {-0.8, 0.125}