s^2t^2-20st+100=0

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Solution for s^2t^2-20st+100=0 equation:


Simplifying
s2t2 + -20st + 100 = 0

Reorder the terms:
100 + -20st + s2t2 = 0

Solving
100 + -20st + s2t2 = 0

Solving for variable 's'.

Factor a trinomial.
(10 + -1st)(10 + -1st) = 0

Subproblem 1

Set the factor '(10 + -1st)' equal to zero and attempt to solve: Simplifying 10 + -1st = 0 Solving 10 + -1st = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1st = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1st = 0 + -10 -1st = 0 + -10 Combine like terms: 0 + -10 = -10 -1st = -10 Divide each side by '-1t'. s = 10t-1 Simplifying s = 10t-1

Subproblem 2

Set the factor '(10 + -1st)' equal to zero and attempt to solve: Simplifying 10 + -1st = 0 Solving 10 + -1st = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1st = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1st = 0 + -10 -1st = 0 + -10 Combine like terms: 0 + -10 = -10 -1st = -10 Divide each side by '-1t'. s = 10t-1 Simplifying s = 10t-1

Solution

s = {10t-1, 10t-1}

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