3w(2w-7)=0

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Solution for 3w(2w-7)=0 equation: 


Simplifying
3w(2w + -7) = 0

Reorder the terms:
3w(-7 + 2w) = 0
(-7 * 3w + 2w * 3w) = 0
(-21w + 6w2) = 0

Solving
-21w + 6w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-7 + 2w) = 0

Ignore the factor 3.

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 '(-7 + 2w)' equal to zero and attempt to solve:

Simplifying
-7 + 2w = 0

Solving
-7 + 2w = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2w = 0 + 7
2w = 0 + 7

Combine like terms: 0 + 7 = 7
2w = 7

Divide each side by '2'.
w = 3.5

Simplifying
w = 3.5
Solution
w = {0, 3.5}

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