3240=w(w+2)(27)

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Solution for 3240=w(w+2)(27) equation: 


Simplifying
3240 = w(w + 2)(27)

Reorder the terms:
3240 = w(2 + w)(27)

Reorder the terms for easier multiplication:
3240 = 27w(2 + w)
3240 = (2 * 27w + w * 27w)
3240 = (54w + 27w2)

Solving
3240 = 54w + 27w2

Solving for variable 'w'.

Reorder the terms:
3240 + -54w + -27w2 = 54w + -54w + 27w2 + -27w2

Combine like terms: 54w + -54w = 0
3240 + -54w + -27w2 = 0 + 27w2 + -27w2
3240 + -54w + -27w2 = 27w2 + -27w2

Combine like terms: 27w2 + -27w2 = 0
3240 + -54w + -27w2 = 0

Factor out the Greatest Common Factor (GCF), '27'.
27(120 + -2w + -1w2) = 0

Factor a trinomial.
27((10 + -1w)(12 + w)) = 0

Ignore the factor 27.

Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve:

Simplifying
10 + -1w = 0

Solving
10 + -1w = 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 + -1w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1w = 0 + -10
-1w = 0 + -10

Combine like terms: 0 + -10 = -10
-1w = -10

Divide each side by '-1'.
w = 10

Simplifying
w = 10

Subproblem 2
Set the factor '(12 + w)' equal to zero and attempt to solve:

Simplifying
12 + w = 0

Solving
12 + w = 0

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

Add '-12' to each side of the equation.
12 + -12 + w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + w = 0 + -12
w = 0 + -12

Combine like terms: 0 + -12 = -12
w = -12

Simplifying
w = -12
Solution
w = {10, -12}

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