(-1+-1x)(14+-1x)=0

Solution for (-1+-1x)(14+-1x)=0 equation:

Simplifying
(-1 + -1x)(14 + -1x) = 0

Multiply (-1 + -1x) * (14 + -1x)
(-1(14 + -1x) + -1x * (14 + -1x)) = 0
((14 * -1 + -1x * -1) + -1x * (14 + -1x)) = 0
((-14 + 1x) + -1x * (14 + -1x)) = 0
(-14 + 1x + (14 * -1x + -1x * -1x)) = 0
(-14 + 1x + (-14x + 1x2)) = 0

Combine like terms: 1x + -14x = -13x
(-14 + -13x + 1x2) = 0

Solving
-14 + -13x + 1x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

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

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

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

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

Simplifying
x = 14
Solution
x = {-1, 14}