(s-2)(s-2)=0

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Solution for (s-2)(s-2)=0 equation:


Simplifying
(s + -2)(s + -2) = 0

Reorder the terms:
(-2 + s)(s + -2) = 0

Reorder the terms:
(-2 + s)(-2 + s) = 0

Multiply (-2 + s) * (-2 + s)
(-2(-2 + s) + s(-2 + s)) = 0
((-2 * -2 + s * -2) + s(-2 + s)) = 0
((4 + -2s) + s(-2 + s)) = 0
(4 + -2s + (-2 * s + s * s)) = 0
(4 + -2s + (-2s + s2)) = 0

Combine like terms: -2s + -2s = -4s
(4 + -4s + s2) = 0

Solving
4 + -4s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(2 + -1s)(2 + -1s) = 0

Subproblem 1

Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2

Subproblem 2

Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2

Solution

s = {2, 2}

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