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Simplifying x2 + 6x = -34 Reorder the terms: 6x + x2 = -34 Solving 6x + x2 = -34 Solving for variable 'x'. Reorder the terms: 34 + 6x + x2 = -34 + 34 Combine like terms: -34 + 34 = 0 34 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-34' to each side of the equation. 34 + 6x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + 6x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 6x + x2 = 0 + -34 6x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 6x + x2 = -34 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 = -34 + 9 Reorder the terms: 9 + 6x + x2 = -34 + 9 Combine like terms: -34 + 9 = -25 9 + 6x + x2 = -25 Factor a perfect square on the left side: (x + 3)(x + 3) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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