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Simplifying 52 = x(1 + -1x) 52 = (1 * x + -1x * x) 52 = (1x + -1x2) Solving 52 = 1x + -1x2 Solving for variable 'x'. Reorder the terms: 52 + -1x + x2 = 1x + -1x + -1x2 + x2 Combine like terms: 1x + -1x = 0 52 + -1x + x2 = 0 + -1x2 + x2 52 + -1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 52 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-52' to each side of the equation. 52 + -1x + -52 + x2 = 0 + -52 Reorder the terms: 52 + -52 + -1x + x2 = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -1x + x2 = 0 + -52 -1x + x2 = 0 + -52 Combine like terms: 0 + -52 = -52 -1x + x2 = -52 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 = -52 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -52 + 0.25 Combine like terms: -52 + 0.25 = -51.75 0.25 + -1x + x2 = -51.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -51.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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