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Simplifying 2100 = x + -1x2 Solving 2100 = x + -1x2 Solving for variable 'x'. Reorder the terms: 2100 + -1x + x2 = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 2100 + -1x + x2 = 0 + -1x2 + x2 2100 + -1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2100 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2100' to each side of the equation. 2100 + -1x + -2100 + x2 = 0 + -2100 Reorder the terms: 2100 + -2100 + -1x + x2 = 0 + -2100 Combine like terms: 2100 + -2100 = 0 0 + -1x + x2 = 0 + -2100 -1x + x2 = 0 + -2100 Combine like terms: 0 + -2100 = -2100 -1x + x2 = -2100 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 = -2100 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2100 + 0.25 Combine like terms: -2100 + 0.25 = -2099.75 0.25 + -1x + x2 = -2099.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -2099.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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