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Simplifying 3t2 + -12t + 20 = 0 Reorder the terms: 20 + -12t + 3t2 = 0 Solving 20 + -12t + 3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6.666666667 + -4t + t2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + -4t + -6.666666667 + t2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + -4t + t2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + -4t + t2 = 0 + -6.666666667 -4t + t2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 -4t + t2 = -6.666666667 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = -6.666666667 + 4 Reorder the terms: 4 + -4t + t2 = -6.666666667 + 4 Combine like terms: -6.666666667 + 4 = -2.666666667 4 + -4t + t2 = -2.666666667 Factor a perfect square on the left side: (t + -2)(t + -2) = -2.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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