2w^2-16w-12w=0

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Solution for 2w^2-16w-12w=0 equation: 


Simplifying
2w2 + -16w + -12w = 0

Reorder the terms:
-16w + -12w + 2w2 = 0

Combine like terms: -16w + -12w = -28w
-28w + 2w2 = 0

Solving
-28w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(-14 + w) = 0

Ignore the factor 2.

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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(-14 + w)' equal to zero and attempt to solve:

Simplifying
-14 + w = 0

Solving
-14 + w = 0

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

Add '14' to each side of the equation.
-14 + 14 + w = 0 + 14

Combine like terms: -14 + 14 = 0
0 + w = 0 + 14
w = 0 + 14

Combine like terms: 0 + 14 = 14
w = 14

Simplifying
w = 14
Solution
w = {0, 14}

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