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Simplifying x2 + -3x + 417 = 133 Reorder the terms: 417 + -3x + x2 = 133 Solving 417 + -3x + x2 = 133 Solving for variable 'x'. Reorder the terms: 417 + -133 + -3x + x2 = 133 + -133 Combine like terms: 417 + -133 = 284 284 + -3x + x2 = 133 + -133 Combine like terms: 133 + -133 = 0 284 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-284' to each side of the equation. 284 + -3x + -284 + x2 = 0 + -284 Reorder the terms: 284 + -284 + -3x + x2 = 0 + -284 Combine like terms: 284 + -284 = 0 0 + -3x + x2 = 0 + -284 -3x + x2 = 0 + -284 Combine like terms: 0 + -284 = -284 -3x + x2 = -284 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -284 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -284 + 2.25 Combine like terms: -284 + 2.25 = -281.75 2.25 + -3x + x2 = -281.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -281.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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