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Simplifying x(1 + -1x) = 175 (1 * x + -1x * x) = 175 (1x + -1x2) = 175 Solving 1x + -1x2 = 175 Solving for variable 'x'. Reorder the terms: -175 + 1x + -1x2 = 175 + -175 Combine like terms: 175 + -175 = 0 -175 + 1x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 175 + -1x + x2 = 0 Move the constant term to the right: Add '-175' to each side of the equation. 175 + -1x + -175 + x2 = 0 + -175 Reorder the terms: 175 + -175 + -1x + x2 = 0 + -175 Combine like terms: 175 + -175 = 0 0 + -1x + x2 = 0 + -175 -1x + x2 = 0 + -175 Combine like terms: 0 + -175 = -175 -1x + x2 = -175 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 = -175 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -175 + 0.25 Combine like terms: -175 + 0.25 = -174.75 0.25 + -1x + x2 = -174.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -174.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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