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Simplifying x2 + 6x + 2 + 8 + 48 + 72 = 0 Reorder the terms: 2 + 8 + 48 + 72 + 6x + x2 = 0 Combine like terms: 2 + 8 = 10 10 + 48 + 72 + 6x + x2 = 0 Combine like terms: 10 + 48 = 58 58 + 72 + 6x + x2 = 0 Combine like terms: 58 + 72 = 130 130 + 6x + x2 = 0 Solving 130 + 6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-130' to each side of the equation. 130 + 6x + -130 + x2 = 0 + -130 Reorder the terms: 130 + -130 + 6x + x2 = 0 + -130 Combine like terms: 130 + -130 = 0 0 + 6x + x2 = 0 + -130 6x + x2 = 0 + -130 Combine like terms: 0 + -130 = -130 6x + x2 = -130 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 = -130 + 9 Reorder the terms: 9 + 6x + x2 = -130 + 9 Combine like terms: -130 + 9 = -121 9 + 6x + x2 = -121 Factor a perfect square on the left side: (x + 3)(x + 3) = -121 Can't calculate square root of the right side. The solution to this equation could not be determined.
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