-w^2-w=9w

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Solution for -w^2-w=9w equation:


Simplifying
-1w2 + -1w = 9w

Reorder the terms:
-1w + -1w2 = 9w

Solving
-1w + -1w2 = 9w

Solving for variable 'w'.

Reorder the terms:
-1w + -9w + -1w2 = 9w + -9w

Combine like terms: -1w + -9w = -10w
-10w + -1w2 = 9w + -9w

Combine like terms: 9w + -9w = 0
-10w + -1w2 = 0

Factor out the Greatest Common Factor (GCF), '-1w'.
-1w(10 + w) = 0

Ignore the factor -1.

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 '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10

Solution

w = {0, -10}

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