(c+8)(5c-2)=0

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Solution for (c+8)(5c-2)=0 equation: 


Simplifying
(c + 8)(5c + -2) = 0

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

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

Multiply (8 + c) * (-2 + 5c)
(8(-2 + 5c) + c(-2 + 5c)) = 0
((-2 * 8 + 5c * 8) + c(-2 + 5c)) = 0
((-16 + 40c) + c(-2 + 5c)) = 0
(-16 + 40c + (-2 * c + 5c * c)) = 0
(-16 + 40c + (-2c + 5c2)) = 0

Combine like terms: 40c + -2c = 38c
(-16 + 38c + 5c2) = 0

Solving
-16 + 38c + 5c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-8 + -1c)(2 + -5c) = 0


Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve:

Simplifying
-8 + -1c = 0

Solving
-8 + -1c = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1c = 0 + 8

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

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

Divide each side by '-1'.
c = -8

Simplifying
c = -8

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 = {-8, 0.4}

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