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Simplifying 5(x2 + -6x + 9) + 1 = 0 Reorder the terms: 5(9 + -6x + x2) + 1 = 0 (9 * 5 + -6x * 5 + x2 * 5) + 1 = 0 (45 + -30x + 5x2) + 1 = 0 Reorder the terms: 45 + 1 + -30x + 5x2 = 0 Combine like terms: 45 + 1 = 46 46 + -30x + 5x2 = 0 Solving 46 + -30x + 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'. 9.2 + -6x + x2 = 0 Move the constant term to the right: Add '-9.2' to each side of the equation. 9.2 + -6x + -9.2 + x2 = 0 + -9.2 Reorder the terms: 9.2 + -9.2 + -6x + x2 = 0 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + -6x + x2 = 0 + -9.2 -6x + x2 = 0 + -9.2 Combine like terms: 0 + -9.2 = -9.2 -6x + x2 = -9.2 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -9.2 + 9 Reorder the terms: 9 + -6x + x2 = -9.2 + 9 Combine like terms: -9.2 + 9 = -0.2 9 + -6x + x2 = -0.2 Factor a perfect square on the left side: (x + -3)(x + -3) = -0.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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