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Simplifying x2 + -9x + 65 = 0 Reorder the terms: 65 + -9x + x2 = 0 Solving 65 + -9x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-65' to each side of the equation. 65 + -9x + -65 + x2 = 0 + -65 Reorder the terms: 65 + -65 + -9x + x2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -9x + x2 = 0 + -65 -9x + x2 = 0 + -65 Combine like terms: 0 + -65 = -65 -9x + x2 = -65 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -65 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -65 + 20.25 Combine like terms: -65 + 20.25 = -44.75 20.25 + -9x + x2 = -44.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -44.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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