(-5+-1x)(3+-1x)=

Solution for (-5+-1x)(3+-1x)= equation:

Simplifying
(-5 + -1x)(3 + -1x) = 0

Multiply (-5 + -1x) * (3 + -1x)
(-5(3 + -1x) + -1x * (3 + -1x)) = 0
((3 * -5 + -1x * -5) + -1x * (3 + -1x)) = 0
((-15 + 5x) + -1x * (3 + -1x)) = 0
(-15 + 5x + (3 * -1x + -1x * -1x)) = 0
(-15 + 5x + (-3x + 1x2)) = 0

Combine like terms: 5x + -3x = 2x
(-15 + 2x + 1x2) = 0

Solving
-15 + 2x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

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

Simplifying
x = 3
Solution
x = {-5, 3}