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Simplifying x2 + 8x + 24 = 4x + -1 Reorder the terms: 24 + 8x + x2 = 4x + -1 Reorder the terms: 24 + 8x + x2 = -1 + 4x Solving 24 + 8x + x2 = -1 + 4x Solving for variable 'x'. Reorder the terms: 24 + 1 + 8x + -4x + x2 = -1 + 4x + 1 + -4x Combine like terms: 24 + 1 = 25 25 + 8x + -4x + x2 = -1 + 4x + 1 + -4x Combine like terms: 8x + -4x = 4x 25 + 4x + x2 = -1 + 4x + 1 + -4x Reorder the terms: 25 + 4x + x2 = -1 + 1 + 4x + -4x Combine like terms: -1 + 1 = 0 25 + 4x + x2 = 0 + 4x + -4x 25 + 4x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 25 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 4x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 4x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x + x2 = 0 + -25 4x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 4x + x2 = -25 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -25 + 4 Reorder the terms: 4 + 4x + x2 = -25 + 4 Combine like terms: -25 + 4 = -21 4 + 4x + x2 = -21 Factor a perfect square on the left side: (x + 2)(x + 2) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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