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Simplifying 500.25 = -1x2 + 11x + 30.25 Reorder the terms: 500.25 = 30.25 + 11x + -1x2 Solving 500.25 = 30.25 + 11x + -1x2 Solving for variable 'x'. Combine like terms: 500.25 + -30.25 = 470 470 + -11x + x2 = 30.25 + 11x + -1x2 + -30.25 + -11x + x2 Reorder the terms: 470 + -11x + x2 = 30.25 + -30.25 + 11x + -11x + -1x2 + x2 Combine like terms: 30.25 + -30.25 = 0.00 470 + -11x + x2 = 0.00 + 11x + -11x + -1x2 + x2 470 + -11x + x2 = 11x + -11x + -1x2 + x2 Combine like terms: 11x + -11x = 0 470 + -11x + x2 = 0 + -1x2 + x2 470 + -11x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 470 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-470' to each side of the equation. 470 + -11x + -470 + x2 = 0 + -470 Reorder the terms: 470 + -470 + -11x + x2 = 0 + -470 Combine like terms: 470 + -470 = 0 0 + -11x + x2 = 0 + -470 -11x + x2 = 0 + -470 Combine like terms: 0 + -470 = -470 -11x + x2 = -470 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -470 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -470 + 30.25 Combine like terms: -470 + 30.25 = -439.75 30.25 + -11x + x2 = -439.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -439.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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