(w-6)(w+1)=

Solution for (w-6)(w+1)= equation:

Simplifying
(w + -6)(w + 1) = 0

Reorder the terms:
(-6 + w)(w + 1) = 0

Reorder the terms:
(-6 + w)(1 + w) = 0

Multiply (-6 + w) * (1 + w)
(-6(1 + w) + w(1 + w)) = 0
((1 * -6 + w * -6) + w(1 + w)) = 0
((-6 + -6w) + w(1 + w)) = 0
(-6 + -6w + (1 * w + w * w)) = 0
(-6 + -6w + (1w + w2)) = 0

Combine like terms: -6w + 1w = -5w
(-6 + -5w + w2) = 0

Solving
-6 + -5w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-1 + -1w)(6 + -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 '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {-1, 6}