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Simplifying (2t + -3)(2t + -3) = 2t + 5t + -26 Reorder the terms: (-3 + 2t)(2t + -3) = 2t + 5t + -26 Reorder the terms: (-3 + 2t)(-3 + 2t) = 2t + 5t + -26 Multiply (-3 + 2t) * (-3 + 2t) (-3(-3 + 2t) + 2t * (-3 + 2t)) = 2t + 5t + -26 ((-3 * -3 + 2t * -3) + 2t * (-3 + 2t)) = 2t + 5t + -26 ((9 + -6t) + 2t * (-3 + 2t)) = 2t + 5t + -26 (9 + -6t + (-3 * 2t + 2t * 2t)) = 2t + 5t + -26 (9 + -6t + (-6t + 4t2)) = 2t + 5t + -26 Combine like terms: -6t + -6t = -12t (9 + -12t + 4t2) = 2t + 5t + -26 Reorder the terms: 9 + -12t + 4t2 = -26 + 2t + 5t Combine like terms: 2t + 5t = 7t 9 + -12t + 4t2 = -26 + 7t Solving 9 + -12t + 4t2 = -26 + 7t Solving for variable 't'. Reorder the terms: 9 + 26 + -12t + -7t + 4t2 = -26 + 7t + 26 + -7t Combine like terms: 9 + 26 = 35 35 + -12t + -7t + 4t2 = -26 + 7t + 26 + -7t Combine like terms: -12t + -7t = -19t 35 + -19t + 4t2 = -26 + 7t + 26 + -7t Reorder the terms: 35 + -19t + 4t2 = -26 + 26 + 7t + -7t Combine like terms: -26 + 26 = 0 35 + -19t + 4t2 = 0 + 7t + -7t 35 + -19t + 4t2 = 7t + -7t Combine like terms: 7t + -7t = 0 35 + -19t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 8.75 + -4.75t + t2 = 0 Move the constant term to the right: Add '-8.75' to each side of the equation. 8.75 + -4.75t + -8.75 + t2 = 0 + -8.75 Reorder the terms: 8.75 + -8.75 + -4.75t + t2 = 0 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + -4.75t + t2 = 0 + -8.75 -4.75t + t2 = 0 + -8.75 Combine like terms: 0 + -8.75 = -8.75 -4.75t + t2 = -8.75 The t term is -4.75t. Take half its coefficient (-2.375). Square it (5.640625) and add it to both sides. Add '5.640625' to each side of the equation. -4.75t + 5.640625 + t2 = -8.75 + 5.640625 Reorder the terms: 5.640625 + -4.75t + t2 = -8.75 + 5.640625 Combine like terms: -8.75 + 5.640625 = -3.109375 5.640625 + -4.75t + t2 = -3.109375 Factor a perfect square on the left side: (t + -2.375)(t + -2.375) = -3.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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