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Simplifying x2 = -55 + -12x Solving x2 = -55 + -12x Solving for variable 'x'. Reorder the terms: 55 + 12x + x2 = -55 + -12x + 55 + 12x Reorder the terms: 55 + 12x + x2 = -55 + 55 + -12x + 12x Combine like terms: -55 + 55 = 0 55 + 12x + x2 = 0 + -12x + 12x 55 + 12x + x2 = -12x + 12x Combine like terms: -12x + 12x = 0 55 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-55' to each side of the equation. 55 + 12x + -55 + x2 = 0 + -55 Reorder the terms: 55 + -55 + 12x + x2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 12x + x2 = 0 + -55 12x + x2 = 0 + -55 Combine like terms: 0 + -55 = -55 12x + x2 = -55 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -55 + 36 Reorder the terms: 36 + 12x + x2 = -55 + 36 Combine like terms: -55 + 36 = -19 36 + 12x + x2 = -19 Factor a perfect square on the left side: (x + 6)(x + 6) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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