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Simplifying 7t2 + 28t + 50 = 0 Reorder the terms: 50 + 28t + 7t2 = 0 Solving 50 + 28t + 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'. 7.142857143 + 4t + t2 = 0 Move the constant term to the right: Add '-7.142857143' to each side of the equation. 7.142857143 + 4t + -7.142857143 + t2 = 0 + -7.142857143 Reorder the terms: 7.142857143 + -7.142857143 + 4t + t2 = 0 + -7.142857143 Combine like terms: 7.142857143 + -7.142857143 = 0.000000000 0.000000000 + 4t + t2 = 0 + -7.142857143 4t + t2 = 0 + -7.142857143 Combine like terms: 0 + -7.142857143 = -7.142857143 4t + t2 = -7.142857143 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 = -7.142857143 + 4 Reorder the terms: 4 + 4t + t2 = -7.142857143 + 4 Combine like terms: -7.142857143 + 4 = -3.142857143 4 + 4t + t2 = -3.142857143 Factor a perfect square on the left side: (t + 2)(t + 2) = -3.142857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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