W*2w*2(w+2w)=96

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Solution for W*2w*2(w+2w)=96 equation: 


Simplifying
W * 2w * 2(w + 2w) = 96

Combine like terms: w + 2w = 3w
W * 2w * 2(3w) = 96

Remove parenthesis around (3w)
W * 2w * 2 * 3w = 96

Reorder the terms for easier multiplication:
2 * 2 * 3W * w * w = 96

Multiply 2 * 2
4 * 3W * w * w = 96

Multiply 4 * 3
12W * w * w = 96

Multiply W * w
12wW * w = 96

Multiply wW * w
12w2W = 96

Solving
12w2W = 96

Solving for variable 'w'.

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

Divide each side by '12W'.
w2 = 8W-1

Simplifying
w2 = 8W-1

Reorder the terms:
-8W-1 + w2 = 8W-1 + -8W-1

Combine like terms: 8W-1 + -8W-1 = 0
-8W-1 + w2 = 0

Factor out the Greatest Common Factor (GCF), 'W-1'.
W-1(-8 + w2W) = 0


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

Simplifying
W-1 = 0

Solving
W-1 = 0

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

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

Simplifying
0 = -1W-1

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 '(-8 + w2W)' equal to zero and attempt to solve:

Simplifying
-8 + w2W = 0

Solving
-8 + w2W = 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 + w2W = 0 + 8

Combine like terms: -8 + 8 = 0
0 + w2W = 0 + 8
w2W = 0 + 8

Combine like terms: 0 + 8 = 8
w2W = 8

Divide each side by 'W'.
w2 = 8W-1

Simplifying
w2 = 8W-1

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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