27w^2+9w=0

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Solution for 27w^2+9w=0 equation:


Simplifying
27w2 + 9w = 0

Reorder the terms:
9w + 27w2 = 0

Solving
9w + 27w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '9w'.
9w(1 + 3w) = 0

Ignore the factor 9.

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 '(1 + 3w)' equal to zero and attempt to solve: Simplifying 1 + 3w = 0 Solving 1 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 0 + -1 3w = 0 + -1 Combine like terms: 0 + -1 = -1 3w = -1 Divide each side by '3'. w = -0.3333333333 Simplifying w = -0.3333333333

Solution

w = {0, -0.3333333333}

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