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Simplifying 6t2 + -17t + 20 = 0 Reorder the terms: 20 + -17t + 6t2 = 0 Solving 20 + -17t + 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'. 3.333333333 + -2.833333333t + t2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -2.833333333t + -3.333333333 + t2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -2.833333333t + t2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -2.833333333t + t2 = 0 + -3.333333333 -2.833333333t + t2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -2.833333333t + t2 = -3.333333333 The t term is -2.833333333t. Take half its coefficient (-1.416666667). Square it (2.006944445) and add it to both sides. Add '2.006944445' to each side of the equation. -2.833333333t + 2.006944445 + t2 = -3.333333333 + 2.006944445 Reorder the terms: 2.006944445 + -2.833333333t + t2 = -3.333333333 + 2.006944445 Combine like terms: -3.333333333 + 2.006944445 = -1.326388888 2.006944445 + -2.833333333t + t2 = -1.326388888 Factor a perfect square on the left side: (t + -1.416666667)(t + -1.416666667) = -1.326388888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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