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Simplifying 4.5x2 + -3x + 11 = 0 Reorder the terms: 11 + -3x + 4.5x2 = 0 Solving 11 + -3x + 4.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.5 the coefficient of the squared term: Divide each side by '4.5'. 2.444444444 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-2.444444444' to each side of the equation. 2.444444444 + -0.6666666667x + -2.444444444 + x2 = 0 + -2.444444444 Reorder the terms: 2.444444444 + -2.444444444 + -0.6666666667x + x2 = 0 + -2.444444444 Combine like terms: 2.444444444 + -2.444444444 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + -2.444444444 -0.6666666667x + x2 = 0 + -2.444444444 Combine like terms: 0 + -2.444444444 = -2.444444444 -0.6666666667x + x2 = -2.444444444 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -2.444444444 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -2.444444444 + 0.1111111112 Combine like terms: -2.444444444 + 0.1111111112 = -2.3333333328 0.1111111112 + -0.6666666667x + x2 = -2.3333333328 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -2.3333333328 Can't calculate square root of the right side. The solution to this equation could not be determined.
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