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Simplifying -1.2 = 3.6t + (0.5)(9.8) * t2 Multiply 0.5 * 9.8 -1.2 = 3.6t + 4.9t2 Solving -1.2 = 3.6t + 4.9t2 Solving for variable 't'. Reorder the terms: -1.2 + -3.6t + -4.9t2 = 3.6t + -3.6t + 4.9t2 + -4.9t2 Combine like terms: 3.6t + -3.6t = 0.0 -1.2 + -3.6t + -4.9t2 = 0.0 + 4.9t2 + -4.9t2 -1.2 + -3.6t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -1.2 + -3.6t + -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'. 0.2448979592 + 0.7346938776t + t2 = 0 Move the constant term to the right: Add '-0.2448979592' to each side of the equation. 0.2448979592 + 0.7346938776t + -0.2448979592 + t2 = 0 + -0.2448979592 Reorder the terms: 0.2448979592 + -0.2448979592 + 0.7346938776t + t2 = 0 + -0.2448979592 Combine like terms: 0.2448979592 + -0.2448979592 = 0.0000000000 0.0000000000 + 0.7346938776t + t2 = 0 + -0.2448979592 0.7346938776t + t2 = 0 + -0.2448979592 Combine like terms: 0 + -0.2448979592 = -0.2448979592 0.7346938776t + t2 = -0.2448979592 The t term is 0.7346938776t. Take half its coefficient (0.3673469388). Square it (0.1349437734) and add it to both sides. Add '0.1349437734' to each side of the equation. 0.7346938776t + 0.1349437734 + t2 = -0.2448979592 + 0.1349437734 Reorder the terms: 0.1349437734 + 0.7346938776t + t2 = -0.2448979592 + 0.1349437734 Combine like terms: -0.2448979592 + 0.1349437734 = -0.1099541858 0.1349437734 + 0.7346938776t + t2 = -0.1099541858 Factor a perfect square on the left side: (t + 0.3673469388)(t + 0.3673469388) = -0.1099541858 Can't calculate square root of the right side. The solution to this equation could not be determined.
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