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Simplifying 30 + -0.9t + t2 = 0 Solving 30 + -0.9t + 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 + -0.9t + -30 + t2 = 0 + -30 Reorder the terms: 30 + -30 + -0.9t + t2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -0.9t + t2 = 0 + -30 -0.9t + t2 = 0 + -30 Combine like terms: 0 + -30 = -30 -0.9t + t2 = -30 The t term is -0.9t. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9t + 0.2025 + t2 = -30 + 0.2025 Reorder the terms: 0.2025 + -0.9t + t2 = -30 + 0.2025 Combine like terms: -30 + 0.2025 = -29.7975 0.2025 + -0.9t + t2 = -29.7975 Factor a perfect square on the left side: (t + -0.45)(t + -0.45) = -29.7975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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