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Simplifying x2 = 6x + -15 Reorder the terms: x2 = -15 + 6x Solving x2 = -15 + 6x Solving for variable 'x'. Reorder the terms: 15 + -6x + x2 = -15 + 6x + 15 + -6x Reorder the terms: 15 + -6x + x2 = -15 + 15 + 6x + -6x Combine like terms: -15 + 15 = 0 15 + -6x + x2 = 0 + 6x + -6x 15 + -6x + x2 = 6x + -6x Combine like terms: 6x + -6x = 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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