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Simplifying x2 + 3x = -460 Reorder the terms: 3x + x2 = -460 Solving 3x + x2 = -460 Solving for variable 'x'. Reorder the terms: 460 + 3x + x2 = -460 + 460 Combine like terms: -460 + 460 = 0 460 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-460' to each side of the equation. 460 + 3x + -460 + x2 = 0 + -460 Reorder the terms: 460 + -460 + 3x + x2 = 0 + -460 Combine like terms: 460 + -460 = 0 0 + 3x + x2 = 0 + -460 3x + x2 = 0 + -460 Combine like terms: 0 + -460 = -460 3x + x2 = -460 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -460 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -460 + 2.25 Combine like terms: -460 + 2.25 = -457.75 2.25 + 3x + x2 = -457.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -457.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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