W(41-W)=420

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Solution for W(41-W)=420 equation:


Simplifying
W(41 + -1W) = 420
(41 * W + -1W * W) = 420
(41W + -1W2) = 420

Solving
41W + -1W2 = 420

Solving for variable 'W'.

Reorder the terms:
-420 + 41W + -1W2 = 420 + -420

Combine like terms: 420 + -420 = 0
-420 + 41W + -1W2 = 0

Factor a trinomial.
(-21 + W)(20 + -1W) = 0

Subproblem 1

Set the factor '(-21 + W)' equal to zero and attempt to solve: Simplifying -21 + W = 0 Solving -21 + W = 0 Move all terms containing W to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + W = 0 + 21 Combine like terms: -21 + 21 = 0 0 + W = 0 + 21 W = 0 + 21 Combine like terms: 0 + 21 = 21 W = 21 Simplifying W = 21

Subproblem 2

Set the factor '(20 + -1W)' equal to zero and attempt to solve: Simplifying 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

Solution

W = {21, 20}

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