(8w+2)(-3w-1)=

Solution for (8w+2)(-3w-1)= equation:

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

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

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

Multiply (2 + 8w) * (-1 + -3w)
(2(-1 + -3w) + 8w * (-1 + -3w)) = 0
((-1 * 2 + -3w * 2) + 8w * (-1 + -3w)) = 0
((-2 + -6w) + 8w * (-1 + -3w)) = 0
(-2 + -6w + (-1 * 8w + -3w * 8w)) = 0
(-2 + -6w + (-8w + -24w2)) = 0

Combine like terms: -6w + -8w = -14w
(-2 + -14w + -24w2) = 0

Solving
-2 + -14w + -24w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 7w + 12w2) = 0

Factor a trinomial.
-2((1 + 3w)(1 + 4w)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(1 + 3w)' equal to zero and attempt to solve:

Simplifying
1 + 3w = 0

Solving
1 + 3w = 0

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

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

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

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

Divide each side by '3'.
w = -0.3333333333

Simplifying
w = -0.3333333333
Subproblem 2
Set the factor '(1 + 4w)' equal to zero and attempt to solve:

Simplifying
1 + 4w = 0

Solving
1 + 4w = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4w = 0 + -1
4w = 0 + -1

Combine like terms: 0 + -1 = -1
4w = -1

Divide each side by '4'.
w = -0.25

Simplifying
w = -0.25
Solution
w = {-0.3333333333, -0.25}