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Simplifying -3x2 + 8x2 + 8x + 9 = 0 Reorder the terms: 9 + 8x + -3x2 + 8x2 = 0 Combine like terms: -3x2 + 8x2 = 5x2 9 + 8x + 5x2 = 0 Solving 9 + 8x + 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'. 1.8 + 1.6x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 1.6x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 1.6x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 1.6x + x2 = 0 + -1.8 1.6x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 1.6x + x2 = -1.8 The x term is 1.6x. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6x + 0.64 + x2 = -1.8 + 0.64 Reorder the terms: 0.64 + 1.6x + x2 = -1.8 + 0.64 Combine like terms: -1.8 + 0.64 = -1.16 0.64 + 1.6x + x2 = -1.16 Factor a perfect square on the left side: (x + 0.8)(x + 0.8) = -1.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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