(c+14)(c-16)=0

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Solution for (c+14)(c-16)=0 equation: 


Simplifying
(c + 14)(c + -16) = 0

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

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

Multiply (14 + c) * (-16 + c)
(14(-16 + c) + c(-16 + c)) = 0
((-16 * 14 + c * 14) + c(-16 + c)) = 0
((-224 + 14c) + c(-16 + c)) = 0
(-224 + 14c + (-16 * c + c * c)) = 0
(-224 + 14c + (-16c + c2)) = 0

Combine like terms: 14c + -16c = -2c
(-224 + -2c + c2) = 0

Solving
-224 + -2c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-14 + -1c)(16 + -1c) = 0


Subproblem 1
Set the factor '(-14 + -1c)' equal to zero and attempt to solve:

Simplifying
-14 + -1c = 0

Solving
-14 + -1c = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1c = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1c = 0 + 14
-1c = 0 + 14

Combine like terms: 0 + 14 = 14
-1c = 14

Divide each side by '-1'.
c = -14

Simplifying
c = -14

Subproblem 2
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
Solution
c = {-14, 16}

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