(w+8)(w-1)=

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

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

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

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

Multiply (8 + w) * (-1 + w)
(8(-1 + w) + w(-1 + w)) = 0
((-1 * 8 + w * 8) + w(-1 + w)) = 0
((-8 + 8w) + w(-1 + w)) = 0
(-8 + 8w + (-1 * w + w * w)) = 0
(-8 + 8w + (-1w + w2)) = 0

Combine like terms: 8w + -1w = 7w
(-8 + 7w + w2) = 0

Solving
-8 + 7w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(-8 + -1w)' equal to zero and attempt to solve:

Simplifying
-8 + -1w = 0

Solving
-8 + -1w = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1w = 0 + 8
-1w = 0 + 8

Combine like terms: 0 + 8 = 8
-1w = 8

Divide each side by '-1'.
w = -8

Simplifying
w = -8
Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve:

Simplifying
1 + -1w = 0

Solving
1 + -1w = 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 + -1w = 0 + -1

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

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

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

Simplifying
w = 1
Solution
w = {-8, 1}