240=3*(W+2)*W

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Solution for 240=3*(W+2)*W equation:


Simplifying
240 = 3(W + 2) * W

Reorder the terms:
240 = 3(2 + W) * W

Reorder the terms for easier multiplication:
240 = 3W(2 + W)
240 = (2 * 3W + W * 3W)
240 = (6W + 3W2)

Solving
240 = 6W + 3W2

Solving for variable 'W'.

Reorder the terms:
240 + -6W + -3W2 = 6W + -6W + 3W2 + -3W2

Combine like terms: 6W + -6W = 0
240 + -6W + -3W2 = 0 + 3W2 + -3W2
240 + -6W + -3W2 = 3W2 + -3W2

Combine like terms: 3W2 + -3W2 = 0
240 + -6W + -3W2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(80 + -2W + -1W2) = 0

Factor a trinomial.
3((8 + -1W)(10 + W)) = 0

Ignore the factor 3.

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 '(10 + W)' equal to zero and attempt to solve: Simplifying 10 + W = 0 Solving 10 + W = 0 Move all terms containing W to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + W = 0 + -10 Combine like terms: 10 + -10 = 0 0 + W = 0 + -10 W = 0 + -10 Combine like terms: 0 + -10 = -10 W = -10 Simplifying W = -10

Solution

W = {8, -10}

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