(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 + -1w)(5 + -1w) = 0

Subproblem 1

Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 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 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5

Subproblem 2

Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 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 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5

Solution

w = {5, 5}

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