240=(3W+6)W

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Solution for 240=(3W+6)W equation: 


Simplifying
240 = (3W + 6) * W

Reorder the terms:
240 = (6 + 3W) * W

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