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Simplifying (4t2 + -7t + -1) + (2t2 + -3t + 6) = 0 Reorder the terms: (-1 + -7t + 4t2) + (2t2 + -3t + 6) = 0 Remove parenthesis around (-1 + -7t + 4t2) -1 + -7t + 4t2 + (2t2 + -3t + 6) = 0 Reorder the terms: -1 + -7t + 4t2 + (6 + -3t + 2t2) = 0 Remove parenthesis around (6 + -3t + 2t2) -1 + -7t + 4t2 + 6 + -3t + 2t2 = 0 Reorder the terms: -1 + 6 + -7t + -3t + 4t2 + 2t2 = 0 Combine like terms: -1 + 6 = 5 5 + -7t + -3t + 4t2 + 2t2 = 0 Combine like terms: -7t + -3t = -10t 5 + -10t + 4t2 + 2t2 = 0 Combine like terms: 4t2 + 2t2 = 6t2 5 + -10t + 6t2 = 0 Solving 5 + -10t + 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'. 0.8333333333 + -1.666666667t + t2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -1.666666667t + -0.8333333333 + t2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -1.666666667t + t2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -1.666666667t + t2 = 0 + -0.8333333333 -1.666666667t + t2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -1.666666667t + t2 = -0.8333333333 The t term is -1.666666667t. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667t + 0.6944444447 + t2 = -0.8333333333 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667t + t2 = -0.8333333333 + 0.6944444447 Combine like terms: -0.8333333333 + 0.6944444447 = -0.1388888886 0.6944444447 + -1.666666667t + t2 = -0.1388888886 Factor a perfect square on the left side: (t + -0.8333333335)(t + -0.8333333335) = -0.1388888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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