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Simplifying t2 + 7t + 30 = 0 Reorder the terms: 30 + 7t + t2 = 0 Solving 30 + 7t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 7t + -30 + t2 = 0 + -30 Reorder the terms: 30 + -30 + 7t + t2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7t + t2 = 0 + -30 7t + t2 = 0 + -30 Combine like terms: 0 + -30 = -30 7t + t2 = -30 The t term is 7t. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7t + 12.25 + t2 = -30 + 12.25 Reorder the terms: 12.25 + 7t + t2 = -30 + 12.25 Combine like terms: -30 + 12.25 = -17.75 12.25 + 7t + t2 = -17.75 Factor a perfect square on the left side: (t + 3.5)(t + 3.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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