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Simplifying 0 = -9.81t2 + 65.96t + -903.48 Reorder the terms: 0 = -903.48 + 65.96t + -9.81t2 Solving 0 = -903.48 + 65.96t + -9.81t2 Solving for variable 't'. Combine like terms: 0 + 903.48 = 903.48 903.48 + -65.96t + 9.81t2 = -903.48 + 65.96t + -9.81t2 + 903.48 + -65.96t + 9.81t2 Reorder the terms: 903.48 + -65.96t + 9.81t2 = -903.48 + 903.48 + 65.96t + -65.96t + -9.81t2 + 9.81t2 Combine like terms: -903.48 + 903.48 = 0.00 903.48 + -65.96t + 9.81t2 = 0.00 + 65.96t + -65.96t + -9.81t2 + 9.81t2 903.48 + -65.96t + 9.81t2 = 65.96t + -65.96t + -9.81t2 + 9.81t2 Combine like terms: 65.96t + -65.96t = 0.00 903.48 + -65.96t + 9.81t2 = 0.00 + -9.81t2 + 9.81t2 903.48 + -65.96t + 9.81t2 = -9.81t2 + 9.81t2 Combine like terms: -9.81t2 + 9.81t2 = 0.00 903.48 + -65.96t + 9.81t2 = 0.00 Begin completing the square. Divide all terms by 9.81 the coefficient of the squared term: Divide each side by '9.81'. 92.09785933 + -6.723751274t + t2 = 0 Move the constant term to the right: Add '-92.09785933' to each side of the equation. 92.09785933 + -6.723751274t + -92.09785933 + t2 = 0 + -92.09785933 Reorder the terms: 92.09785933 + -92.09785933 + -6.723751274t + t2 = 0 + -92.09785933 Combine like terms: 92.09785933 + -92.09785933 = 0.00000000 0.00000000 + -6.723751274t + t2 = 0 + -92.09785933 -6.723751274t + t2 = 0 + -92.09785933 Combine like terms: 0 + -92.09785933 = -92.09785933 -6.723751274t + t2 = -92.09785933 The t term is -6.723751274t. Take half its coefficient (-3.361875637). Square it (11.30220780) and add it to both sides. Add '11.30220780' to each side of the equation. -6.723751274t + 11.30220780 + t2 = -92.09785933 + 11.30220780 Reorder the terms: 11.30220780 + -6.723751274t + t2 = -92.09785933 + 11.30220780 Combine like terms: -92.09785933 + 11.30220780 = -80.79565153 11.30220780 + -6.723751274t + t2 = -80.79565153 Factor a perfect square on the left side: (t + -3.361875637)(t + -3.361875637) = -80.79565153 Can't calculate square root of the right side. The solution to this equation could not be determined.
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