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Simplifying 15 = -4.9t2 + 17t + -14.8 Reorder the terms: 15 = -14.8 + 17t + -4.9t2 Solving 15 = -14.8 + 17t + -4.9t2 Solving for variable 't'. Combine like terms: 15 + 14.8 = 29.8 29.8 + -17t + 4.9t2 = -14.8 + 17t + -4.9t2 + 14.8 + -17t + 4.9t2 Reorder the terms: 29.8 + -17t + 4.9t2 = -14.8 + 14.8 + 17t + -17t + -4.9t2 + 4.9t2 Combine like terms: -14.8 + 14.8 = 0.0 29.8 + -17t + 4.9t2 = 0.0 + 17t + -17t + -4.9t2 + 4.9t2 29.8 + -17t + 4.9t2 = 17t + -17t + -4.9t2 + 4.9t2 Combine like terms: 17t + -17t = 0 29.8 + -17t + 4.9t2 = 0 + -4.9t2 + 4.9t2 29.8 + -17t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 29.8 + -17t + 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'. 6.081632653 + -3.469387755t + t2 = 0 Move the constant term to the right: Add '-6.081632653' to each side of the equation. 6.081632653 + -3.469387755t + -6.081632653 + t2 = 0 + -6.081632653 Reorder the terms: 6.081632653 + -6.081632653 + -3.469387755t + t2 = 0 + -6.081632653 Combine like terms: 6.081632653 + -6.081632653 = 0.000000000 0.000000000 + -3.469387755t + t2 = 0 + -6.081632653 -3.469387755t + t2 = 0 + -6.081632653 Combine like terms: 0 + -6.081632653 = -6.081632653 -3.469387755t + t2 = -6.081632653 The t term is -3.469387755t. Take half its coefficient (-1.734693878). Square it (3.009162850) and add it to both sides. Add '3.009162850' to each side of the equation. -3.469387755t + 3.009162850 + t2 = -6.081632653 + 3.009162850 Reorder the terms: 3.009162850 + -3.469387755t + t2 = -6.081632653 + 3.009162850 Combine like terms: -6.081632653 + 3.009162850 = -3.072469803 3.009162850 + -3.469387755t + t2 = -3.072469803 Factor a perfect square on the left side: (t + -1.734693878)(t + -1.734693878) = -3.072469803 Can't calculate square root of the right side. The solution to this equation could not be determined.
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