(c-10)(c-1)=-14

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Solution for (c-10)(c-1)=-14 equation: 


Simplifying
(c + -10)(c + -1) = -14

Reorder the terms:
(-10 + c)(c + -1) = -14

Reorder the terms:
(-10 + c)(-1 + c) = -14

Multiply (-10 + c) * (-1 + c)
(-10(-1 + c) + c(-1 + c)) = -14
((-1 * -10 + c * -10) + c(-1 + c)) = -14
((10 + -10c) + c(-1 + c)) = -14
(10 + -10c + (-1 * c + c * c)) = -14
(10 + -10c + (-1c + c2)) = -14

Combine like terms: -10c + -1c = -11c
(10 + -11c + c2) = -14

Solving
10 + -11c + c2 = -14

Solving for variable 'c'.

Reorder the terms:
10 + 14 + -11c + c2 = -14 + 14

Combine like terms: 10 + 14 = 24
24 + -11c + c2 = -14 + 14

Combine like terms: -14 + 14 = 0
24 + -11c + c2 = 0

Factor a trinomial.
(3 + -1c)(8 + -1c) = 0


Subproblem 1
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3

Subproblem 2
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
Solution
c = {3, 8}

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