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Simplifying x2 + 6x = -15 Reorder the terms: 6x + x2 = -15 Solving 6x + x2 = -15 Solving for variable 'x'. Reorder the terms: 15 + 6x + x2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 6x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 6x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 6x + x2 = 0 + -15 6x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 6x + x2 = -15 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 = -15 + 9 Reorder the terms: 9 + 6x + x2 = -15 + 9 Combine like terms: -15 + 9 = -6 9 + 6x + x2 = -6 Factor a perfect square on the left side: (x + 3)(x + 3) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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