w^2=-13w

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Solution for w^2=-13w equation:


Simplifying
w2 = -13w

Solving
w2 = -13w

Solving for variable 'w'.

Reorder the terms:
13w + w2 = -13w + 13w

Combine like terms: -13w + 13w = 0
13w + w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(13 + 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 '(13 + w)' equal to zero and attempt to solve: Simplifying 13 + w = 0 Solving 13 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + w = 0 + -13 w = 0 + -13 Combine like terms: 0 + -13 = -13 w = -13 Simplifying w = -13

Solution

w = {0, -13}

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