w^2+19w+18=

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Solution for w^2+19w+18= equation:


Simplifying
w2 + 19w + 18 = 0

Reorder the terms:
18 + 19w + w2 = 0

Solving
18 + 19w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(18 + w)(1 + w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1

Solution

w = {-18, -1}

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