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Simplifying 9x2 + 5x + 6 = 0 Reorder the terms: 6 + 5x + 9x2 = 0 Solving 6 + 5x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.6666666667 + 0.5555555556x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + 0.5555555556x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + 0.5555555556x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + 0.5555555556x + x2 = 0 + -0.6666666667 0.5555555556x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 0.5555555556x + x2 = -0.6666666667 The x term is 0.5555555556x. Take half its coefficient (0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. 0.5555555556x + 0.07716049384 + x2 = -0.6666666667 + 0.07716049384 Reorder the terms: 0.07716049384 + 0.5555555556x + x2 = -0.6666666667 + 0.07716049384 Combine like terms: -0.6666666667 + 0.07716049384 = -0.58950617286 0.07716049384 + 0.5555555556x + x2 = -0.58950617286 Factor a perfect square on the left side: (x + 0.2777777778)(x + 0.2777777778) = -0.58950617286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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