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Simplifying 10t2 + 53t + 250 = 0 Reorder the terms: 250 + 53t + 10t2 = 0 Solving 250 + 53t + 10t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 25 + 5.3t + t2 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + 5.3t + -25 + t2 = 0 + -25 Reorder the terms: 25 + -25 + 5.3t + t2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5.3t + t2 = 0 + -25 5.3t + t2 = 0 + -25 Combine like terms: 0 + -25 = -25 5.3t + t2 = -25 The t term is 5.3t. Take half its coefficient (2.65). Square it (7.0225) and add it to both sides. Add '7.0225' to each side of the equation. 5.3t + 7.0225 + t2 = -25 + 7.0225 Reorder the terms: 7.0225 + 5.3t + t2 = -25 + 7.0225 Combine like terms: -25 + 7.0225 = -17.9775 7.0225 + 5.3t + t2 = -17.9775 Factor a perfect square on the left side: (t + 2.65)(t + 2.65) = -17.9775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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