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Simplifying 2x(x + 3) = -9 Reorder the terms: 2x(3 + x) = -9 (3 * 2x + x * 2x) = -9 (6x + 2x2) = -9 Solving 6x + 2x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + 6x + 2x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 6x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + 3x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 3x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 3x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 3x + x2 = 0 + -4.5 3x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 3x + x2 = -4.5 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 = -4.5 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -4.5 + 2.25 Combine like terms: -4.5 + 2.25 = -2.25 2.25 + 3x + x2 = -2.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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