w^2=-45-14w

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Solution for w^2=-45-14w equation:


Simplifying
w2 = -45 + -14w

Solving
w2 = -45 + -14w

Solving for variable 'w'.

Reorder the terms:
45 + 14w + w2 = -45 + -14w + 45 + 14w

Reorder the terms:
45 + 14w + w2 = -45 + 45 + -14w + 14w

Combine like terms: -45 + 45 = 0
45 + 14w + w2 = 0 + -14w + 14w
45 + 14w + w2 = -14w + 14w

Combine like terms: -14w + 14w = 0
45 + 14w + w2 = 0

Factor a trinomial.
(9 + w)(5 + w) = 0

Subproblem 1

Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9

Subproblem 2

Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5

Solution

w = {-9, -5}

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