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

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


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

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

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

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

Combine like terms: 8c + -5c = 3c
(-40 + 3c + c2) = 0

Solving
-40 + 3c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-8 + -1c)(5 + -1c) = 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 '(5 + -1c)' equal to zero and attempt to solve:

Simplifying
5 + -1c = 0

Solving
5 + -1c = 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 + -1c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1c = 0 + -5
-1c = 0 + -5

Combine like terms: 0 + -5 = -5
-1c = -5

Divide each side by '-1'.
c = 5

Simplifying
c = 5
Solution
c = {-8, 5}

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