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Simplifying X + -5X2 + -76 = 0 Reorder the terms: -76 + X + -5X2 = 0 Solving -76 + X + -5X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 15.2 + -0.2X + X2 = 0 Move the constant term to the right: Add '-15.2' to each side of the equation. 15.2 + -0.2X + -15.2 + X2 = 0 + -15.2 Reorder the terms: 15.2 + -15.2 + -0.2X + X2 = 0 + -15.2 Combine like terms: 15.2 + -15.2 = 0.0 0.0 + -0.2X + X2 = 0 + -15.2 -0.2X + X2 = 0 + -15.2 Combine like terms: 0 + -15.2 = -15.2 -0.2X + X2 = -15.2 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. -0.2X + 0.25 + X2 = -15.2 + 0.25 Reorder the terms: 0.25 + -0.2X + X2 = -15.2 + 0.25 Combine like terms: -15.2 + 0.25 = -14.95 0.25 + -0.2X + X2 = -14.95 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -14.95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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