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Simplifying 5(t2) + -14(t) + 51 = 0 Reorder the terms: 51 + -14t + 5t2 = 0 Solving 51 + -14t + 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'. 10.2 + -2.8t + t2 = 0 Move the constant term to the right: Add '-10.2' to each side of the equation. 10.2 + -2.8t + -10.2 + t2 = 0 + -10.2 Reorder the terms: 10.2 + -10.2 + -2.8t + t2 = 0 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -2.8t + t2 = 0 + -10.2 -2.8t + t2 = 0 + -10.2 Combine like terms: 0 + -10.2 = -10.2 -2.8t + t2 = -10.2 The t term is -2.8t. Take half its coefficient (-1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. -2.8t + 1.96 + t2 = -10.2 + 1.96 Reorder the terms: 1.96 + -2.8t + t2 = -10.2 + 1.96 Combine like terms: -10.2 + 1.96 = -8.24 1.96 + -2.8t + t2 = -8.24 Factor a perfect square on the left side: (t + -1.4)(t + -1.4) = -8.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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