(w+5)(w+5)=0

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Solution for (w+5)(w+5)=0 equation:


Simplifying
(w + 5)(w + 5) = 0

Reorder the terms:
(5 + w)(w + 5) = 0

Reorder the terms:
(5 + w)(5 + w) = 0

Multiply (5 + w) * (5 + w)
(5(5 + w) + w(5 + w)) = 0
((5 * 5 + w * 5) + w(5 + w)) = 0
((25 + 5w) + w(5 + w)) = 0
(25 + 5w + (5 * w + w * w)) = 0
(25 + 5w + (5w + w2)) = 0

Combine like terms: 5w + 5w = 10w
(25 + 10w + w2) = 0

Solving
25 + 10w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1

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

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 = {-5, -5}

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