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Simplifying X(X + 8) = -340 Reorder the terms: X(8 + X) = -340 (8 * X + X * X) = -340 (8X + X2) = -340 Solving 8X + X2 = -340 Solving for variable 'X'. Reorder the terms: 340 + 8X + X2 = -340 + 340 Combine like terms: -340 + 340 = 0 340 + 8X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-340' to each side of the equation. 340 + 8X + -340 + X2 = 0 + -340 Reorder the terms: 340 + -340 + 8X + X2 = 0 + -340 Combine like terms: 340 + -340 = 0 0 + 8X + X2 = 0 + -340 8X + X2 = 0 + -340 Combine like terms: 0 + -340 = -340 8X + X2 = -340 The X term is 8X. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8X + 16 + X2 = -340 + 16 Reorder the terms: 16 + 8X + X2 = -340 + 16 Combine like terms: -340 + 16 = -324 16 + 8X + X2 = -324 Factor a perfect square on the left side: (X + 4)(X + 4) = -324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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