(C+7)(C-18)=0

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Solution for (C+7)(C-18)=0 equation: 


Simplifying
(C + 7)(C + -18) = 0

Reorder the terms:
(7 + C)(C + -18) = 0

Reorder the terms:
(7 + C)(-18 + C) = 0

Multiply (7 + C) * (-18 + C)
(7(-18 + C) + C(-18 + C)) = 0
((-18 * 7 + C * 7) + C(-18 + C)) = 0
((-126 + 7C) + C(-18 + C)) = 0
(-126 + 7C + (-18 * C + C * C)) = 0
(-126 + 7C + (-18C + C2)) = 0

Combine like terms: 7C + -18C = -11C
(-126 + -11C + C2) = 0

Solving
-126 + -11C + C2 = 0

Solving for variable 'C'.

Factor a trinomial.
(-7 + -1C)(18 + -1C) = 0


Subproblem 1
Set the factor '(-7 + -1C)' equal to zero and attempt to solve:

Simplifying
-7 + -1C = 0

Solving
-7 + -1C = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1C = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1C = 0 + 7
-1C = 0 + 7

Combine like terms: 0 + 7 = 7
-1C = 7

Divide each side by '-1'.
C = -7

Simplifying
C = -7

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 = {-7, 18}

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