(20+w)x(4-w)=

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Solution for (20+w)x(4-w)= equation: 


Simplifying
(20 + w) * x(4 + -1w) = 0

Reorder the terms for easier multiplication:
x(20 + w)(4 + -1w) = 0

Multiply (20 + w) * (4 + -1w)
x(20(4 + -1w) + w(4 + -1w)) = 0
x((4 * 20 + -1w * 20) + w(4 + -1w)) = 0
x((80 + -20w) + w(4 + -1w)) = 0
x(80 + -20w + (4 * w + -1w * w)) = 0
x(80 + -20w + (4w + -1w2)) = 0

Combine like terms: -20w + 4w = -16w
x(80 + -16w + -1w2) = 0
(80 * x + -16w * x + -1w2 * x) = 0

Reorder the terms:
(-16wx + -1w2x + 80x) = 0
(-16wx + -1w2x + 80x) = 0

Solving
-16wx + -1w2x + 80x = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16w + -1w2 + 80) = 0

Factor a trinomial.
x((-1w + -20)(w + -4)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1w + -20)' equal to zero and attempt to solve:

Simplifying
-1w + -20 = 0

Reorder the terms:
-20 + -1w = 0

Solving
-20 + -1w = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1w = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1w = 0 + 20
-1w = 0 + 20

Combine like terms: 0 + 20 = 20
-1w = 20

Divide each side by '-1'.
w = -20

Simplifying
w = -20

Subproblem 3
Set the factor '(w + -4)' equal to zero and attempt to solve:

Simplifying
w + -4 = 0

Reorder the terms:
-4 + w = 0

Solving
-4 + w = 0

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

Add '4' to each side of the equation.
-4 + 4 + w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + w = 0 + 4
w = 0 + 4

Combine like terms: 0 + 4 = 4
w = 4

Simplifying
w = 4
Solution
w = {-20, 4}

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