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Simplifying 5X2 + 15X + 75 = 4 Reorder the terms: 75 + 15X + 5X2 = 4 Solving 75 + 15X + 5X2 = 4 Solving for variable 'X'. Reorder the terms: 75 + -4 + 15X + 5X2 = 4 + -4 Combine like terms: 75 + -4 = 71 71 + 15X + 5X2 = 4 + -4 Combine like terms: 4 + -4 = 0 71 + 15X + 5X2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 14.2 + 3X + X2 = 0 Move the constant term to the right: Add '-14.2' to each side of the equation. 14.2 + 3X + -14.2 + X2 = 0 + -14.2 Reorder the terms: 14.2 + -14.2 + 3X + X2 = 0 + -14.2 Combine like terms: 14.2 + -14.2 = 0.0 0.0 + 3X + X2 = 0 + -14.2 3X + X2 = 0 + -14.2 Combine like terms: 0 + -14.2 = -14.2 3X + X2 = -14.2 The X term is 3X. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3X + 2.25 + X2 = -14.2 + 2.25 Reorder the terms: 2.25 + 3X + X2 = -14.2 + 2.25 Combine like terms: -14.2 + 2.25 = -11.95 2.25 + 3X + X2 = -11.95 Factor a perfect square on the left side: (X + 1.5)(X + 1.5) = -11.95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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