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Simplifying X2 + 4X = -53 Reorder the terms: 4X + X2 = -53 Solving 4X + X2 = -53 Solving for variable 'X'. Reorder the terms: 53 + 4X + X2 = -53 + 53 Combine like terms: -53 + 53 = 0 53 + 4X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-53' to each side of the equation. 53 + 4X + -53 + X2 = 0 + -53 Reorder the terms: 53 + -53 + 4X + X2 = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 4X + X2 = 0 + -53 4X + X2 = 0 + -53 Combine like terms: 0 + -53 = -53 4X + X2 = -53 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 = -53 + 4 Reorder the terms: 4 + 4X + X2 = -53 + 4 Combine like terms: -53 + 4 = -49 4 + 4X + X2 = -49 Factor a perfect square on the left side: (X + 2)(X + 2) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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