(5t-s)(5t-s)=

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


Simplifying
(5t + -1s)(5t + -1s) = 0

Reorder the terms:
(-1s + 5t)(5t + -1s) = 0

Reorder the terms:
(-1s + 5t)(-1s + 5t) = 0

Multiply (-1s + 5t) * (-1s + 5t)
(-1s * (-1s + 5t) + 5t * (-1s + 5t)) = 0
((-1s * -1s + 5t * -1s) + 5t * (-1s + 5t)) = 0

Reorder the terms:
((-5st + 1s2) + 5t * (-1s + 5t)) = 0
((-5st + 1s2) + 5t * (-1s + 5t)) = 0
(-5st + 1s2 + (-1s * 5t + 5t * 5t)) = 0
(-5st + 1s2 + (-5st + 25t2)) = 0

Reorder the terms:
(-5st + -5st + 1s2 + 25t2) = 0

Combine like terms: -5st + -5st = -10st
(-10st + 1s2 + 25t2) = 0

Solving
-10st + 1s2 + 25t2 = 0

Solving for variable 's'.

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

Subproblem 1

Set the factor '(s + -5t)' equal to zero and attempt to solve: Simplifying s + -5t = 0 Solving s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 s + 0 = 0 + 5t s = 0 + 5t Remove the zero: s = 5t Simplifying s = 5t

Subproblem 2

Set the factor '(s + -5t)' equal to zero and attempt to solve: Simplifying s + -5t = 0 Solving s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 s + 0 = 0 + 5t s = 0 + 5t Remove the zero: s = 5t Simplifying s = 5t

Solution

s = {5t, 5t}

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