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Simplifying x2 + -1x + 564 = 64 Reorder the terms: 564 + -1x + x2 = 64 Solving 564 + -1x + x2 = 64 Solving for variable 'x'. Reorder the terms: 564 + -64 + -1x + x2 = 64 + -64 Combine like terms: 564 + -64 = 500 500 + -1x + x2 = 64 + -64 Combine like terms: 64 + -64 = 0 500 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-500' to each side of the equation. 500 + -1x + -500 + x2 = 0 + -500 Reorder the terms: 500 + -500 + -1x + x2 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -1x + x2 = 0 + -500 -1x + x2 = 0 + -500 Combine like terms: 0 + -500 = -500 -1x + x2 = -500 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -500 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -500 + 0.25 Combine like terms: -500 + 0.25 = -499.75 0.25 + -1x + x2 = -499.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -499.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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