(c+7)(c-15)=0

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Solution for (c+7)(c-15)=0 equation: 


Simplifying
(c + 7)(c + -15) = 0

Reorder the terms:
(7 + c)(c + -15) = 0

Reorder the terms:
(7 + c)(-15 + c) = 0

Multiply (7 + c) * (-15 + c)
(7(-15 + c) + c(-15 + c)) = 0
((-15 * 7 + c * 7) + c(-15 + c)) = 0
((-105 + 7c) + c(-15 + c)) = 0
(-105 + 7c + (-15 * c + c * c)) = 0
(-105 + 7c + (-15c + c2)) = 0

Combine like terms: 7c + -15c = -8c
(-105 + -8c + c2) = 0

Solving
-105 + -8c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -1c)(15 + -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 '(15 + -1c)' equal to zero and attempt to solve:

Simplifying
15 + -1c = 0

Solving
15 + -1c = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1c = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1c = 0 + -15
-1c = 0 + -15

Combine like terms: 0 + -15 = -15
-1c = -15

Divide each side by '-1'.
c = 15

Simplifying
c = 15
Solution
c = {-7, 15}

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