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Simplifying x2 + 6x + 9 = -20 Reorder the terms: 9 + 6x + x2 = -20 Solving 9 + 6x + x2 = -20 Solving for variable 'x'. Reorder the terms: 9 + 20 + 6x + x2 = -20 + 20 Combine like terms: 9 + 20 = 29 29 + 6x + x2 = -20 + 20 Combine like terms: -20 + 20 = 0 29 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 6x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + 6x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 6x + x2 = 0 + -29 6x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 6x + x2 = -29 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 = -29 + 9 Reorder the terms: 9 + 6x + x2 = -29 + 9 Combine like terms: -29 + 9 = -20 9 + 6x + x2 = -20 Factor a perfect square on the left side: (x + 3)(x + 3) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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