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Simplifying 0 = 5x2 + -2.2x + 12.3 Reorder the terms: 0 = 12.3 + -2.2x + 5x2 Solving 0 = 12.3 + -2.2x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -12.3 = -12.3 -12.3 + 2.2x + -5x2 = 12.3 + -2.2x + 5x2 + -12.3 + 2.2x + -5x2 Reorder the terms: -12.3 + 2.2x + -5x2 = 12.3 + -12.3 + -2.2x + 2.2x + 5x2 + -5x2 Combine like terms: 12.3 + -12.3 = 0.0 -12.3 + 2.2x + -5x2 = 0.0 + -2.2x + 2.2x + 5x2 + -5x2 -12.3 + 2.2x + -5x2 = -2.2x + 2.2x + 5x2 + -5x2 Combine like terms: -2.2x + 2.2x = 0.0 -12.3 + 2.2x + -5x2 = 0.0 + 5x2 + -5x2 -12.3 + 2.2x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -12.3 + 2.2x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2.46 + -0.44x + x2 = 0 Move the constant term to the right: Add '-2.46' to each side of the equation. 2.46 + -0.44x + -2.46 + x2 = 0 + -2.46 Reorder the terms: 2.46 + -2.46 + -0.44x + x2 = 0 + -2.46 Combine like terms: 2.46 + -2.46 = 0.00 0.00 + -0.44x + x2 = 0 + -2.46 -0.44x + x2 = 0 + -2.46 Combine like terms: 0 + -2.46 = -2.46 -0.44x + x2 = -2.46 The x term is -0.44x. Take half its coefficient (-0.22). Square it (0.0484) and add it to both sides. Add '0.0484' to each side of the equation. -0.44x + 0.0484 + x2 = -2.46 + 0.0484 Reorder the terms: 0.0484 + -0.44x + x2 = -2.46 + 0.0484 Combine like terms: -2.46 + 0.0484 = -2.4116 0.0484 + -0.44x + x2 = -2.4116 Factor a perfect square on the left side: (x + -0.22)(x + -0.22) = -2.4116 Can't calculate square root of the right side. The solution to this equation could not be determined.
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