6w(2w-9)=0

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Solution for 6w(2w-9)=0 equation: 


Simplifying
6w(2w + -9) = 0

Reorder the terms:
6w(-9 + 2w) = 0
(-9 * 6w + 2w * 6w) = 0
(-54w + 12w2) = 0

Solving
-54w + 12w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '6w'.
6w(-9 + 2w) = 0

Ignore the factor 6.

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 '(-9 + 2w)' equal to zero and attempt to solve:

Simplifying
-9 + 2w = 0

Solving
-9 + 2w = 0

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

Add '9' to each side of the equation.
-9 + 9 + 2w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2w = 0 + 9
2w = 0 + 9

Combine like terms: 0 + 9 = 9
2w = 9

Divide each side by '2'.
w = 4.5

Simplifying
w = 4.5
Solution
w = {0, 4.5}

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