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Simplifying 4X(X + 3) = -19 Reorder the terms: 4X(3 + X) = -19 (3 * 4X + X * 4X) = -19 (12X + 4X2) = -19 Solving 12X + 4X2 = -19 Solving for variable 'X'. Reorder the terms: 19 + 12X + 4X2 = -19 + 19 Combine like terms: -19 + 19 = 0 19 + 12X + 4X2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4.75 + 3X + X2 = 0 Move the constant term to the right: Add '-4.75' to each side of the equation. 4.75 + 3X + -4.75 + X2 = 0 + -4.75 Reorder the terms: 4.75 + -4.75 + 3X + X2 = 0 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + 3X + X2 = 0 + -4.75 3X + X2 = 0 + -4.75 Combine like terms: 0 + -4.75 = -4.75 3X + X2 = -4.75 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 = -4.75 + 2.25 Reorder the terms: 2.25 + 3X + X2 = -4.75 + 2.25 Combine like terms: -4.75 + 2.25 = -2.5 2.25 + 3X + X2 = -2.5 Factor a perfect square on the left side: (X + 1.5)(X + 1.5) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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