w*w=3w-21w

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Solution for w*w=3w-21w equation: 


Simplifying
w * w = 3w + -21w

Multiply w * w
w2 = 3w + -21w

Combine like terms: 3w + -21w = -18w
w2 = -18w

Solving
w2 = -18w

Solving for variable 'w'.

Reorder the terms:
18w + w2 = -18w + 18w

Combine like terms: -18w + 18w = 0
18w + w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(18 + w) = 0


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

Simplifying
18 + w = 0

Solving
18 + w = 0

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

Add '-18' to each side of the equation.
18 + -18 + w = 0 + -18

Combine like terms: 18 + -18 = 0
0 + w = 0 + -18
w = 0 + -18

Combine like terms: 0 + -18 = -18
w = -18

Simplifying
w = -18
Solution
w = {0, -18}

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