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Simplifying -0.002x2 + x + -370 = 0 Reorder the terms: -370 + x + -0.002x2 = 0 Solving -370 + x + -0.002x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.002 the coefficient of the squared term: Divide each side by '-0.002'. 185000 + -500x + x2 = 0 Move the constant term to the right: Add '-185000' to each side of the equation. 185000 + -500x + -185000 + x2 = 0 + -185000 Reorder the terms: 185000 + -185000 + -500x + x2 = 0 + -185000 Combine like terms: 185000 + -185000 = 0 0 + -500x + x2 = 0 + -185000 -500x + x2 = 0 + -185000 Combine like terms: 0 + -185000 = -185000 -500x + x2 = -185000 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. -500x + 0.25 + x2 = -185000 + 0.25 Reorder the terms: 0.25 + -500x + x2 = -185000 + 0.25 Combine like terms: -185000 + 0.25 = -184999.75 0.25 + -500x + x2 = -184999.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -184999.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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