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Simplifying 5t2 + -19t + 25 = 0 Reorder the terms: 25 + -19t + 5t2 = 0 Solving 25 + -19t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5 + -3.8t + t2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3.8t + -5 + t2 = 0 + -5 Reorder the terms: 5 + -5 + -3.8t + t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3.8t + t2 = 0 + -5 -3.8t + t2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3.8t + t2 = -5 The t term is -3.8t. Take half its coefficient (-1.9). Square it (3.61) and add it to both sides. Add '3.61' to each side of the equation. -3.8t + 3.61 + t2 = -5 + 3.61 Reorder the terms: 3.61 + -3.8t + t2 = -5 + 3.61 Combine like terms: -5 + 3.61 = -1.39 3.61 + -3.8t + t2 = -1.39 Factor a perfect square on the left side: (t + -1.9)(t + -1.9) = -1.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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