(-2x-1)(-1x+3)=

Solution for (-2x-1)(-1x+3)= equation:

Simplifying
(-2x + -1)(-1x + 3) = 0

Reorder the terms:
(-1 + -2x)(-1x + 3) = 0

Reorder the terms:
(-1 + -2x)(3 + -1x) = 0

Multiply (-1 + -2x) * (3 + -1x)
(-1(3 + -1x) + -2x * (3 + -1x)) = 0
((3 * -1 + -1x * -1) + -2x * (3 + -1x)) = 0
((-3 + 1x) + -2x * (3 + -1x)) = 0
(-3 + 1x + (3 * -2x + -1x * -2x)) = 0
(-3 + 1x + (-6x + 2x2)) = 0

Combine like terms: 1x + -6x = -5x
(-3 + -5x + 2x2) = 0

Solving
-3 + -5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(3 + -1x) = 0

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
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 = {-0.5, 3}