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Simplifying 5 + -1t + 0.0625t2 = 0 Solving 5 + -1t + 0.0625t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.0625 the coefficient of the squared term: Divide each side by '0.0625'. 80 + -16t + t2 = 0 Move the constant term to the right: Add '-80' to each side of the equation. 80 + -16t + -80 + t2 = 0 + -80 Reorder the terms: 80 + -80 + -16t + t2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -16t + t2 = 0 + -80 -16t + t2 = 0 + -80 Combine like terms: 0 + -80 = -80 -16t + t2 = -80 The t term is -16t. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16t + 64 + t2 = -80 + 64 Reorder the terms: 64 + -16t + t2 = -80 + 64 Combine like terms: -80 + 64 = -16 64 + -16t + t2 = -16 Factor a perfect square on the left side: (t + -8)(t + -8) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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