(w-7)(w+3)=

Solution for (w-7)(w+3)= equation:

Simplifying
(w + -7)(w + 3) = 0

Reorder the terms:
(-7 + w)(w + 3) = 0

Reorder the terms:
(-7 + w)(3 + w) = 0

Multiply (-7 + w) * (3 + w)
(-7(3 + w) + w(3 + w)) = 0
((3 * -7 + w * -7) + w(3 + w)) = 0
((-21 + -7w) + w(3 + w)) = 0
(-21 + -7w + (3 * w + w * w)) = 0
(-21 + -7w + (3w + w2)) = 0

Combine like terms: -7w + 3w = -4w
(-21 + -4w + w2) = 0

Solving
-21 + -4w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -1w)(7 + -1w) = 0

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

Simplifying
-3 + -1w = 0

Solving
-3 + -1w = 0

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

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

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

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

Divide each side by '-1'.
w = -3

Simplifying
w = -3
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 = {-3, 7}