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Simplifying x2 + 2x + 24 = -21 Reorder the terms: 24 + 2x + x2 = -21 Solving 24 + 2x + x2 = -21 Solving for variable 'x'. Reorder the terms: 24 + 21 + 2x + x2 = -21 + 21 Combine like terms: 24 + 21 = 45 45 + 2x + x2 = -21 + 21 Combine like terms: -21 + 21 = 0 45 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + 2x + -45 + x2 = 0 + -45 Reorder the terms: 45 + -45 + 2x + x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 2x + x2 = 0 + -45 2x + x2 = 0 + -45 Combine like terms: 0 + -45 = -45 2x + x2 = -45 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -45 + 1 Reorder the terms: 1 + 2x + x2 = -45 + 1 Combine like terms: -45 + 1 = -44 1 + 2x + x2 = -44 Factor a perfect square on the left side: (x + 1)(x + 1) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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