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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) = 0Subproblem 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 = 5tSubproblem 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 = 5tSolution
s = {5t, 5t}
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