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Simplifying x2 + 6x = -20 Reorder the terms: 6x + x2 = -20 Solving 6x + x2 = -20 Solving for variable 'x'. Reorder the terms: 20 + 6x + x2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 6x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + 6x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6x + x2 = 0 + -20 6x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 6x + x2 = -20 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 = -20 + 9 Reorder the terms: 9 + 6x + x2 = -20 + 9 Combine like terms: -20 + 9 = -11 9 + 6x + x2 = -11 Factor a perfect square on the left side: (x + 3)(x + 3) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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