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Simplifying x * x + -6x + 9 = -3.2 Multiply x * x x2 + -6x + 9 = -3.2 Reorder the terms: 9 + -6x + x2 = -3.2 Solving 9 + -6x + x2 = -3.2 Solving for variable 'x'. Reorder the terms: 9 + 3.2 + -6x + x2 = -3.2 + 3.2 Combine like terms: 9 + 3.2 = 12.2 12.2 + -6x + x2 = -3.2 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 12.2 + -6x + x2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-12.2' to each side of the equation. 12.2 + -6x + -12.2 + x2 = 0.0 + -12.2 Reorder the terms: 12.2 + -12.2 + -6x + x2 = 0.0 + -12.2 Combine like terms: 12.2 + -12.2 = 0.0 0.0 + -6x + x2 = 0.0 + -12.2 -6x + x2 = 0.0 + -12.2 Combine like terms: 0.0 + -12.2 = -12.2 -6x + x2 = -12.2 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 = -12.2 + 9 Reorder the terms: 9 + -6x + x2 = -12.2 + 9 Combine like terms: -12.2 + 9 = -3.2 9 + -6x + x2 = -3.2 Factor a perfect square on the left side: (x + -3)(x + -3) = -3.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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