3w^2-22w+243w=0

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Solution for 3w^2-22w+243w=0 equation: 


Simplifying
3w2 + -22w + 243w = 0

Reorder the terms:
-22w + 243w + 3w2 = 0

Combine like terms: -22w + 243w = 221w
221w + 3w2 = 0

Solving
221w + 3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(221 + 3w) = 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 '(221 + 3w)' equal to zero and attempt to solve:

Simplifying
221 + 3w = 0

Solving
221 + 3w = 0

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

Add '-221' to each side of the equation.
221 + -221 + 3w = 0 + -221

Combine like terms: 221 + -221 = 0
0 + 3w = 0 + -221
3w = 0 + -221

Combine like terms: 0 + -221 = -221
3w = -221

Divide each side by '3'.
w = -73.66666667

Simplifying
w = -73.66666667
Solution
w = {0, -73.66666667}

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