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Simplifying 500 + -8x + x2 = 0 Solving 500 + -8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-500' to each side of the equation. 500 + -8x + -500 + x2 = 0 + -500 Reorder the terms: 500 + -500 + -8x + x2 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -8x + x2 = 0 + -500 -8x + x2 = 0 + -500 Combine like terms: 0 + -500 = -500 -8x + x2 = -500 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -500 + 16 Reorder the terms: 16 + -8x + x2 = -500 + 16 Combine like terms: -500 + 16 = -484 16 + -8x + x2 = -484 Factor a perfect square on the left side: (x + -4)(x + -4) = -484 Can't calculate square root of the right side. The solution to this equation could not be determined.
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