4w(w+26)=

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Solution for 4w(w+26)= equation:


Simplifying
4w(w + 26) = 0

Reorder the terms:
4w(26 + w) = 0
(26 * 4w + w * 4w) = 0
(104w + 4w2) = 0

Solving
104w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4w'.
4w(26 + w) = 0

Ignore the factor 4.

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 '(26 + w)' equal to zero and attempt to solve:

Simplifying
26 + w = 0

Solving
26 + w = 0

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

Add '-26' to each side of the equation.
26 + -26 + w = 0 + -26

Combine like terms: 26 + -26 = 0
0 + w = 0 + -26
w = 0 + -26

Combine like terms: 0 + -26 = -26
w = -26

Simplifying
w = -26
Solution
w = {0, -26}

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