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Simplifying x2 + 6x + 42 = 0 Reorder the terms: 42 + 6x + x2 = 0 Solving 42 + 6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + 6x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + 6x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6x + x2 = 0 + -42 6x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 6x + x2 = -42 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 = -42 + 9 Reorder the terms: 9 + 6x + x2 = -42 + 9 Combine like terms: -42 + 9 = -33 9 + 6x + x2 = -33 Factor a perfect square on the left side: (x + 3)(x + 3) = -33 Can't calculate square root of the right side. The solution to this equation could not be determined.
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