(w+1)(w-7)=

Solution for (w+1)(w-7)= equation:

Simplifying
(w + 1)(w + -7) = 0

Reorder the terms:
(1 + w)(w + -7) = 0

Reorder the terms:
(1 + w)(-7 + w) = 0

Multiply (1 + w) * (-7 + w)
(1(-7 + w) + w(-7 + w)) = 0
((-7 * 1 + w * 1) + w(-7 + w)) = 0
((-7 + 1w) + w(-7 + w)) = 0
(-7 + 1w + (-7 * w + w * w)) = 0
(-7 + 1w + (-7w + w2)) = 0

Combine like terms: 1w + -7w = -6w
(-7 + -6w + w2) = 0

Solving
-7 + -6w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-1 + -1w)(7 + -1w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Solution
w = {-1, 7}