-w(2w+7)=0

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


Simplifying
-1w(2w + 7) = 0

Reorder the terms:
-1w(7 + 2w) = 0
(7 * -1w + 2w * -1w) = 0
(-7w + -2w2) = 0

Solving
-7w + -2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-1w'.
-1w(7 + 2w) = 0

Ignore the factor -1.

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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