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Simplifying x(x + 4) = -24 Reorder the terms: x(4 + x) = -24 (4 * x + x * x) = -24 (4x + x2) = -24 Solving 4x + x2 = -24 Solving for variable 'x'. Reorder the terms: 24 + 4x + x2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 4x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + 4x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4x + x2 = 0 + -24 4x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 4x + x2 = -24 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 = -24 + 4 Reorder the terms: 4 + 4x + x2 = -24 + 4 Combine like terms: -24 + 4 = -20 4 + 4x + x2 = -20 Factor a perfect square on the left side: (x + 2)(x + 2) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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