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Simplifying x2 + -45x + 10000 = 0 Reorder the terms: 10000 + -45x + x2 = 0 Solving 10000 + -45x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-10000' to each side of the equation. 10000 + -45x + -10000 + x2 = 0 + -10000 Reorder the terms: 10000 + -10000 + -45x + x2 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -45x + x2 = 0 + -10000 -45x + x2 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 -45x + x2 = -10000 The x term is -45x. Take half its coefficient (-22.5). Square it (506.25) and add it to both sides. Add '506.25' to each side of the equation. -45x + 506.25 + x2 = -10000 + 506.25 Reorder the terms: 506.25 + -45x + x2 = -10000 + 506.25 Combine like terms: -10000 + 506.25 = -9493.75 506.25 + -45x + x2 = -9493.75 Factor a perfect square on the left side: (x + -22.5)(x + -22.5) = -9493.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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