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Simplifying x2 + 6x + -4 = -123 Reorder the terms: -4 + 6x + x2 = -123 Solving -4 + 6x + x2 = -123 Solving for variable 'x'. Reorder the terms: -4 + 123 + 6x + x2 = -123 + 123 Combine like terms: -4 + 123 = 119 119 + 6x + x2 = -123 + 123 Combine like terms: -123 + 123 = 0 119 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-119' to each side of the equation. 119 + 6x + -119 + x2 = 0 + -119 Reorder the terms: 119 + -119 + 6x + x2 = 0 + -119 Combine like terms: 119 + -119 = 0 0 + 6x + x2 = 0 + -119 6x + x2 = 0 + -119 Combine like terms: 0 + -119 = -119 6x + x2 = -119 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 = -119 + 9 Reorder the terms: 9 + 6x + x2 = -119 + 9 Combine like terms: -119 + 9 = -110 9 + 6x + x2 = -110 Factor a perfect square on the left side: (x + 3)(x + 3) = -110 Can't calculate square root of the right side. The solution to this equation could not be determined.
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