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Simplifying -12.75 = 4.9t2 + 4.75t Reorder the terms: -12.75 = 4.75t + 4.9t2 Solving -12.75 = 4.75t + 4.9t2 Solving for variable 't'. Reorder the terms: -12.75 + -4.75t + -4.9t2 = 4.75t + -4.75t + 4.9t2 + -4.9t2 Combine like terms: 4.75t + -4.75t = 0.00 -12.75 + -4.75t + -4.9t2 = 0.00 + 4.9t2 + -4.9t2 -12.75 + -4.75t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -12.75 + -4.75t + -4.9t2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 2.602040816 + 0.9693877551t + t2 = 0 Move the constant term to the right: Add '-2.602040816' to each side of the equation. 2.602040816 + 0.9693877551t + -2.602040816 + t2 = 0 + -2.602040816 Reorder the terms: 2.602040816 + -2.602040816 + 0.9693877551t + t2 = 0 + -2.602040816 Combine like terms: 2.602040816 + -2.602040816 = 0.000000000 0.000000000 + 0.9693877551t + t2 = 0 + -2.602040816 0.9693877551t + t2 = 0 + -2.602040816 Combine like terms: 0 + -2.602040816 = -2.602040816 0.9693877551t + t2 = -2.602040816 The t term is 0.9693877551t. Take half its coefficient (0.4846938776). Square it (0.2349281550) and add it to both sides. Add '0.2349281550' to each side of the equation. 0.9693877551t + 0.2349281550 + t2 = -2.602040816 + 0.2349281550 Reorder the terms: 0.2349281550 + 0.9693877551t + t2 = -2.602040816 + 0.2349281550 Combine like terms: -2.602040816 + 0.2349281550 = -2.367112661 0.2349281550 + 0.9693877551t + t2 = -2.367112661 Factor a perfect square on the left side: (t + 0.4846938776)(t + 0.4846938776) = -2.367112661 Can't calculate square root of the right side. The solution to this equation could not be determined.
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