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Simplifying 7s2 + -14st + 7t2 = 0 Reorder the terms: -14st + 7s2 + 7t2 = 0 Solving -14st + 7s2 + 7t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '7'. 7(-2st + s2 + t2) = 0 Factor a trinomial. 7((s + -1t)(s + -1t)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(s + -1t)' equal to zero and attempt to solve: Simplifying s + -1t = 0 Solving s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. s + -1t + t = 0 + t Combine like terms: -1t + t = 0 s + 0 = 0 + t s = 0 + t Remove the zero: s = t Simplifying s = tSubproblem 2
Set the factor '(s + -1t)' equal to zero and attempt to solve: Simplifying s + -1t = 0 Solving s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. s + -1t + t = 0 + t Combine like terms: -1t + t = 0 s + 0 = 0 + t s = 0 + t Remove the zero: s = t Simplifying s = tSolution
s = {t, t}
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