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Simplifying 6s2 + st + 5t2 = 0 Reorder the terms: st + 6s2 + 5t2 = 0 Solving st + 6s2 + 5t2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.1666666667st + s2 + 0.8333333333t2 = 0 Move the constant term to the right: Add '-0.8333333333t2' to each side of the equation. 0.1666666667st + s2 + 0.8333333333t2 + -0.8333333333t2 = 0 + -0.8333333333t2 Combine like terms: 0.8333333333t2 + -0.8333333333t2 = 0.0000000000 0.1666666667st + s2 + 0.0000000000 = 0 + -0.8333333333t2 0.1666666667st + s2 = 0 + -0.8333333333t2 Remove the zero: 0.1666666667st + s2 = -0.8333333333t2 The s term is st. Take half its coefficient (0.5t). Square it (0.25t2) and add it to both sides. Add '0.25t2' to each side of the equation. 0.1666666667st + s2 + 0.25t2 = -0.8333333333t2 + 0.25t2 Combine like terms: -0.8333333333t2 + 0.25t2 = -0.5833333333t2 0.1666666667st + s2 + 0.25t2 = -0.5833333333t2 Factor a perfect square on the left side: (s + 0.5t)(s + 0.5t) = -0.5833333333t2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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