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Simplifying X2 + 20 = -4X Reorder the terms: 20 + X2 = -4X Solving 20 + X2 = -4X Solving for variable 'X'. Reorder the terms: 20 + 4X + X2 = -4X + 4X Combine like terms: -4X + 4X = 0 20 + 4X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 4X + -20 + X2 = 0 + -20 Reorder the terms: 20 + -20 + 4X + X2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4X + X2 = 0 + -20 4X + X2 = 0 + -20 Combine like terms: 0 + -20 = -20 4X + X2 = -20 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 = -20 + 4 Reorder the terms: 4 + 4X + X2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + 4X + X2 = -16 Factor a perfect square on the left side: (X + 2)(X + 2) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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