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Simplifying 2x2 + 7.2 = 4.6x Reorder the terms: 7.2 + 2x2 = 4.6x Solving 7.2 + 2x2 = 4.6x Solving for variable 'x'. Reorder the terms: 7.2 + -4.6x + 2x2 = 4.6x + -4.6x Combine like terms: 4.6x + -4.6x = 0.0 7.2 + -4.6x + 2x2 = 0.0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.6 + -2.3x + x2 = 0.0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + -2.3x + -3.6 + x2 = 0.0 + -3.6 Reorder the terms: 3.6 + -3.6 + -2.3x + x2 = 0.0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -2.3x + x2 = 0.0 + -3.6 -2.3x + x2 = 0.0 + -3.6 Combine like terms: 0.0 + -3.6 = -3.6 -2.3x + x2 = -3.6 The x term is -2.3x. Take half its coefficient (-1.15). Square it (1.3225) and add it to both sides. Add '1.3225' to each side of the equation. -2.3x + 1.3225 + x2 = -3.6 + 1.3225 Reorder the terms: 1.3225 + -2.3x + x2 = -3.6 + 1.3225 Combine like terms: -3.6 + 1.3225 = -2.2775 1.3225 + -2.3x + x2 = -2.2775 Factor a perfect square on the left side: (x + -1.15)(x + -1.15) = -2.2775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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