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Simplifying (3t2 + -8t + 2) + -1(-3t2 + 5t + -7) = 0 Reorder the terms: (2 + -8t + 3t2) + -1(-3t2 + 5t + -7) = 0 Remove parenthesis around (2 + -8t + 3t2) 2 + -8t + 3t2 + -1(-3t2 + 5t + -7) = 0 Reorder the terms: 2 + -8t + 3t2 + -1(-7 + 5t + -3t2) = 0 2 + -8t + 3t2 + (-7 * -1 + 5t * -1 + -3t2 * -1) = 0 2 + -8t + 3t2 + (7 + -5t + 3t2) = 0 Reorder the terms: 2 + 7 + -8t + -5t + 3t2 + 3t2 = 0 Combine like terms: 2 + 7 = 9 9 + -8t + -5t + 3t2 + 3t2 = 0 Combine like terms: -8t + -5t = -13t 9 + -13t + 3t2 + 3t2 = 0 Combine like terms: 3t2 + 3t2 = 6t2 9 + -13t + 6t2 = 0 Solving 9 + -13t + 6t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.5 + -2.166666667t + t2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -2.166666667t + -1.5 + t2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -2.166666667t + t2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2.166666667t + t2 = 0 + -1.5 -2.166666667t + t2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -2.166666667t + t2 = -1.5 The t term is -2.166666667t. Take half its coefficient (-1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. -2.166666667t + 1.173611113 + t2 = -1.5 + 1.173611113 Reorder the terms: 1.173611113 + -2.166666667t + t2 = -1.5 + 1.173611113 Combine like terms: -1.5 + 1.173611113 = -0.326388887 1.173611113 + -2.166666667t + t2 = -0.326388887 Factor a perfect square on the left side: (t + -1.083333334)(t + -1.083333334) = -0.326388887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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