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Simplifying t2 + 4t = -19 Reorder the terms: 4t + t2 = -19 Solving 4t + t2 = -19 Solving for variable 't'. Reorder the terms: 19 + 4t + t2 = -19 + 19 Combine like terms: -19 + 19 = 0 19 + 4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 4t + -19 + t2 = 0 + -19 Reorder the terms: 19 + -19 + 4t + t2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4t + t2 = 0 + -19 4t + t2 = 0 + -19 Combine like terms: 0 + -19 = -19 4t + t2 = -19 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 = -19 + 4 Reorder the terms: 4 + 4t + t2 = -19 + 4 Combine like terms: -19 + 4 = -15 4 + 4t + t2 = -15 Factor a perfect square on the left side: (t + 2)(t + 2) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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