(-x-2x-3)(-8x+3)=

Solution for (-x-2x-3)(-8x+3)= equation:

Simplifying
(-1x + -2x + -3)(-8x + 3) = 0

Reorder the terms:
(-3 + -1x + -2x)(-8x + 3) = 0

Combine like terms: -1x + -2x = -3x
(-3 + -3x)(-8x + 3) = 0

Reorder the terms:
(-3 + -3x)(3 + -8x) = 0

Multiply (-3 + -3x) * (3 + -8x)
(-3(3 + -8x) + -3x * (3 + -8x)) = 0
((3 * -3 + -8x * -3) + -3x * (3 + -8x)) = 0
((-9 + 24x) + -3x * (3 + -8x)) = 0
(-9 + 24x + (3 * -3x + -8x * -3x)) = 0
(-9 + 24x + (-9x + 24x2)) = 0

Combine like terms: 24x + -9x = 15x
(-9 + 15x + 24x2) = 0

Solving
-9 + 15x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 5x + 8x2) = 0

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

Ignore the factor 3.
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 '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 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 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Solution
x = {-1, 0.375}