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Simplifying (4t2 + -2t + -5) + (3t2 + -1t + 7) = 0 Reorder the terms: (-5 + -2t + 4t2) + (3t2 + -1t + 7) = 0 Remove parenthesis around (-5 + -2t + 4t2) -5 + -2t + 4t2 + (3t2 + -1t + 7) = 0 Reorder the terms: -5 + -2t + 4t2 + (7 + -1t + 3t2) = 0 Remove parenthesis around (7 + -1t + 3t2) -5 + -2t + 4t2 + 7 + -1t + 3t2 = 0 Reorder the terms: -5 + 7 + -2t + -1t + 4t2 + 3t2 = 0 Combine like terms: -5 + 7 = 2 2 + -2t + -1t + 4t2 + 3t2 = 0 Combine like terms: -2t + -1t = -3t 2 + -3t + 4t2 + 3t2 = 0 Combine like terms: 4t2 + 3t2 = 7t2 2 + -3t + 7t2 = 0 Solving 2 + -3t + 7t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.2857142857 + -0.4285714286t + t2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.4285714286t + -0.2857142857 + t2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + -0.4285714286t + t2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + -0.4285714286t + t2 = 0 + -0.2857142857 -0.4285714286t + t2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 -0.4285714286t + t2 = -0.2857142857 The t term is -0.4285714286t. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286t + 0.04591836735 + t2 = -0.2857142857 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286t + t2 = -0.2857142857 + 0.04591836735 Combine like terms: -0.2857142857 + 0.04591836735 = -0.23979591835 0.04591836735 + -0.4285714286t + t2 = -0.23979591835 Factor a perfect square on the left side: (t + -0.2142857143)(t + -0.2142857143) = -0.23979591835 Can't calculate square root of the right side. The solution to this equation could not be determined.
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