(w*w)+16w+60=0

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Solution for (w*w)+16w+60=0 equation:


Simplifying
(w * w) + 16w + 60 = 0

Multiply w * w
(w2) + 16w + 60 = 0
w2 + 16w + 60 = 0

Reorder the terms:
60 + 16w + w2 = 0

Solving
60 + 16w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(10 + w)(6 + w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(6 + w)' equal to zero and attempt to solve: Simplifying 6 + w = 0 Solving 6 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + w = 0 + -6 w = 0 + -6 Combine like terms: 0 + -6 = -6 w = -6 Simplifying w = -6

Solution

w = {-10, -6}

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