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Simplifying (5t2 + -6t + 7) + (8t + -5) = 0 Reorder the terms: (7 + -6t + 5t2) + (8t + -5) = 0 Remove parenthesis around (7 + -6t + 5t2) 7 + -6t + 5t2 + (8t + -5) = 0 Reorder the terms: 7 + -6t + 5t2 + (-5 + 8t) = 0 Remove parenthesis around (-5 + 8t) 7 + -6t + 5t2 + -5 + 8t = 0 Reorder the terms: 7 + -5 + -6t + 8t + 5t2 = 0 Combine like terms: 7 + -5 = 2 2 + -6t + 8t + 5t2 = 0 Combine like terms: -6t + 8t = 2t 2 + 2t + 5t2 = 0 Solving 2 + 2t + 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'. 0.4 + 0.4t + t2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.4t + -0.4 + t2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.4t + t2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.4t + t2 = 0 + -0.4 0.4t + t2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.4t + t2 = -0.4 The t term is 0.4t. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4t + 0.04 + t2 = -0.4 + 0.04 Reorder the terms: 0.04 + 0.4t + t2 = -0.4 + 0.04 Combine like terms: -0.4 + 0.04 = -0.36 0.04 + 0.4t + t2 = -0.36 Factor a perfect square on the left side: (t + 0.2)(t + 0.2) = -0.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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