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Simplifying 5x2 + -9x + 20 = 0 Reorder the terms: 20 + -9x + 5x2 = 0 Solving 20 + -9x + 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'. 4 + -1.8x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1.8x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -1.8x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.8x + x2 = 0 + -4 -1.8x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1.8x + x2 = -4 The x term is -1.8x. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8x + 0.81 + x2 = -4 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -4 + 0.81 Combine like terms: -4 + 0.81 = -3.19 0.81 + -1.8x + x2 = -3.19 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -3.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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