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Simplifying X + -0.02X2 = 10 Solving X + -0.02X2 = 10 Solving for variable 'X'. Reorder the terms: -10 + X + -0.02X2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + X + -0.02X2 = 0 Begin completing the square. Divide all terms by -0.02 the coefficient of the squared term: Divide each side by '-0.02'. 500 + -50X + X2 = 0 Move the constant term to the right: Add '-500' to each side of the equation. 500 + -50X + -500 + X2 = 0 + -500 Reorder the terms: 500 + -500 + -50X + X2 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -50X + X2 = 0 + -500 -50X + X2 = 0 + -500 Combine like terms: 0 + -500 = -500 -50X + X2 = -500 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. -50X + 0.25 + X2 = -500 + 0.25 Reorder the terms: 0.25 + -50X + X2 = -500 + 0.25 Combine like terms: -500 + 0.25 = -499.75 0.25 + -50X + X2 = -499.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -499.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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