(c+16)(c-18)=0

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Solution for (c+16)(c-18)=0 equation: 


Simplifying
(c + 16)(c + -18) = 0

Reorder the terms:
(16 + c)(c + -18) = 0

Reorder the terms:
(16 + c)(-18 + c) = 0

Multiply (16 + c) * (-18 + c)
(16(-18 + c) + c(-18 + c)) = 0
((-18 * 16 + c * 16) + c(-18 + c)) = 0
((-288 + 16c) + c(-18 + c)) = 0
(-288 + 16c + (-18 * c + c * c)) = 0
(-288 + 16c + (-18c + c2)) = 0

Combine like terms: 16c + -18c = -2c
(-288 + -2c + c2) = 0

Solving
-288 + -2c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-16 + -1c)(18 + -1c) = 0


Subproblem 1
Set the factor '(-16 + -1c)' equal to zero and attempt to solve:

Simplifying
-16 + -1c = 0

Solving
-16 + -1c = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1c = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1c = 0 + 16
-1c = 0 + 16

Combine like terms: 0 + 16 = 16
-1c = 16

Divide each side by '-1'.
c = -16

Simplifying
c = -16

Subproblem 2
Set the factor '(18 + -1c)' equal to zero and attempt to solve:

Simplifying
18 + -1c = 0

Solving
18 + -1c = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1c = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1c = 0 + -18
-1c = 0 + -18

Combine like terms: 0 + -18 = -18
-1c = -18

Divide each side by '-1'.
c = 18

Simplifying
c = 18
Solution
c = {-16, 18}

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