(w+4)(w-2)=40

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Solution for (w+4)(w-2)=40 equation: 


Simplifying
(w + 4)(w + -2) = 40

Reorder the terms:
(4 + w)(w + -2) = 40

Reorder the terms:
(4 + w)(-2 + w) = 40

Multiply (4 + w) * (-2 + w)
(4(-2 + w) + w(-2 + w)) = 40
((-2 * 4 + w * 4) + w(-2 + w)) = 40
((-8 + 4w) + w(-2 + w)) = 40
(-8 + 4w + (-2 * w + w * w)) = 40
(-8 + 4w + (-2w + w2)) = 40

Combine like terms: 4w + -2w = 2w
(-8 + 2w + w2) = 40

Solving
-8 + 2w + w2 = 40

Solving for variable 'w'.

Reorder the terms:
-8 + -40 + 2w + w2 = 40 + -40

Combine like terms: -8 + -40 = -48
-48 + 2w + w2 = 40 + -40

Combine like terms: 40 + -40 = 0
-48 + 2w + w2 = 0

Factor a trinomial.
(-8 + -1w)(6 + -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 '(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 = {-8, 6}

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