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Simplifying -5t2 + 22t2 + -26t + 14 = 0 Reorder the terms: 14 + -26t + -5t2 + 22t2 = 0 Combine like terms: -5t2 + 22t2 = 17t2 14 + -26t + 17t2 = 0 Solving 14 + -26t + 17t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.8235294118 + -1.529411765t + t2 = 0 Move the constant term to the right: Add '-0.8235294118' to each side of the equation. 0.8235294118 + -1.529411765t + -0.8235294118 + t2 = 0 + -0.8235294118 Reorder the terms: 0.8235294118 + -0.8235294118 + -1.529411765t + t2 = 0 + -0.8235294118 Combine like terms: 0.8235294118 + -0.8235294118 = 0.0000000000 0.0000000000 + -1.529411765t + t2 = 0 + -0.8235294118 -1.529411765t + t2 = 0 + -0.8235294118 Combine like terms: 0 + -0.8235294118 = -0.8235294118 -1.529411765t + t2 = -0.8235294118 The t term is -1.529411765t. Take half its coefficient (-0.7647058825). Square it (0.5847750867) and add it to both sides. Add '0.5847750867' to each side of the equation. -1.529411765t + 0.5847750867 + t2 = -0.8235294118 + 0.5847750867 Reorder the terms: 0.5847750867 + -1.529411765t + t2 = -0.8235294118 + 0.5847750867 Combine like terms: -0.8235294118 + 0.5847750867 = -0.2387543251 0.5847750867 + -1.529411765t + t2 = -0.2387543251 Factor a perfect square on the left side: (t + -0.7647058825)(t + -0.7647058825) = -0.2387543251 Can't calculate square root of the right side. The solution to this equation could not be determined.
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