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Simplifying X2 + 6X = -53 Reorder the terms: 6X + X2 = -53 Solving 6X + X2 = -53 Solving for variable 'X'. Reorder the terms: 53 + 6X + X2 = -53 + 53 Combine like terms: -53 + 53 = 0 53 + 6X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-53' to each side of the equation. 53 + 6X + -53 + X2 = 0 + -53 Reorder the terms: 53 + -53 + 6X + X2 = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 6X + X2 = 0 + -53 6X + X2 = 0 + -53 Combine like terms: 0 + -53 = -53 6X + X2 = -53 The X term is 6X. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6X + 9 + X2 = -53 + 9 Reorder the terms: 9 + 6X + X2 = -53 + 9 Combine like terms: -53 + 9 = -44 9 + 6X + X2 = -44 Factor a perfect square on the left side: (X + 3)(X + 3) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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