(s-5)(s-5)=0

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Solution for (s-5)(s-5)=0 equation:


Simplifying
(s + -5)(s + -5) = 0

Reorder the terms:
(-5 + s)(s + -5) = 0

Reorder the terms:
(-5 + s)(-5 + s) = 0

Multiply (-5 + s) * (-5 + s)
(-5(-5 + s) + s(-5 + s)) = 0
((-5 * -5 + s * -5) + s(-5 + s)) = 0
((25 + -5s) + s(-5 + s)) = 0
(25 + -5s + (-5 * s + s * s)) = 0
(25 + -5s + (-5s + s2)) = 0

Combine like terms: -5s + -5s = -10s
(25 + -10s + s2) = 0

Solving
25 + -10s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(5 + -1s)(5 + -1s) = 0

Subproblem 1

Set the factor '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5

Subproblem 2

Set the factor '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5

Solution

s = {5, 5}

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