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Simplifying (6t2 + -3t + 2) + -1(-6t2 + 3t + -5) = 0 Reorder the terms: (2 + -3t + 6t2) + -1(-6t2 + 3t + -5) = 0 Remove parenthesis around (2 + -3t + 6t2) 2 + -3t + 6t2 + -1(-6t2 + 3t + -5) = 0 Reorder the terms: 2 + -3t + 6t2 + -1(-5 + 3t + -6t2) = 0 2 + -3t + 6t2 + (-5 * -1 + 3t * -1 + -6t2 * -1) = 0 2 + -3t + 6t2 + (5 + -3t + 6t2) = 0 Reorder the terms: 2 + 5 + -3t + -3t + 6t2 + 6t2 = 0 Combine like terms: 2 + 5 = 7 7 + -3t + -3t + 6t2 + 6t2 = 0 Combine like terms: -3t + -3t = -6t 7 + -6t + 6t2 + 6t2 = 0 Combine like terms: 6t2 + 6t2 = 12t2 7 + -6t + 12t2 = 0 Solving 7 + -6t + 12t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5833333333 + -0.5t + t2 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + -0.5t + -0.5833333333 + t2 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + -0.5t + t2 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + -0.5t + t2 = 0 + -0.5833333333 -0.5t + t2 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 -0.5t + t2 = -0.5833333333 The t term is -0.5t. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5t + 0.0625 + t2 = -0.5833333333 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = -0.5833333333 + 0.0625 Combine like terms: -0.5833333333 + 0.0625 = -0.5208333333 0.0625 + -0.5t + t2 = -0.5208333333 Factor a perfect square on the left side: (t + -0.25)(t + -0.25) = -0.5208333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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