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Simplifying 5x2 + -29x + 45 = 0 Reorder the terms: 45 + -29x + 5x2 = 0 Solving 45 + -29x + 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 + -5.8x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5.8x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -5.8x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5.8x + x2 = 0 + -9 -5.8x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5.8x + x2 = -9 The x term is -5.8x. Take half its coefficient (-2.9). Square it (8.41) and add it to both sides. Add '8.41' to each side of the equation. -5.8x + 8.41 + x2 = -9 + 8.41 Reorder the terms: 8.41 + -5.8x + x2 = -9 + 8.41 Combine like terms: -9 + 8.41 = -0.59 8.41 + -5.8x + x2 = -0.59 Factor a perfect square on the left side: (x + -2.9)(x + -2.9) = -0.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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