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Simplifying -0.004x2 + x + -40 = 6 Reorder the terms: -40 + x + -0.004x2 = 6 Solving -40 + x + -0.004x2 = 6 Solving for variable 'x'. Reorder the terms: -40 + -6 + x + -0.004x2 = 6 + -6 Combine like terms: -40 + -6 = -46 -46 + x + -0.004x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -46 + x + -0.004x2 = 0 Begin completing the square. Divide all terms by -0.004 the coefficient of the squared term: Divide each side by '-0.004'. 11500 + -250x + x2 = 0 Move the constant term to the right: Add '-11500' to each side of the equation. 11500 + -250x + -11500 + x2 = 0 + -11500 Reorder the terms: 11500 + -11500 + -250x + x2 = 0 + -11500 Combine like terms: 11500 + -11500 = 0 0 + -250x + x2 = 0 + -11500 -250x + x2 = 0 + -11500 Combine like terms: 0 + -11500 = -11500 -250x + x2 = -11500 The x term is x. 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. -250x + 0.25 + x2 = -11500 + 0.25 Reorder the terms: 0.25 + -250x + x2 = -11500 + 0.25 Combine like terms: -11500 + 0.25 = -11499.75 0.25 + -250x + x2 = -11499.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -11499.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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