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Simplifying 9x2 + 5x = -8 Reorder the terms: 5x + 9x2 = -8 Solving 5x + 9x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + 5x + 9x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 5x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + 0.5555555556x + x2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + 0.5555555556x + -0.8888888889 + x2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + 0.5555555556x + x2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + 0.5555555556x + x2 = 0 + -0.8888888889 0.5555555556x + x2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 0.5555555556x + x2 = -0.8888888889 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 = -0.8888888889 + 0.07716049384 Reorder the terms: 0.07716049384 + 0.5555555556x + x2 = -0.8888888889 + 0.07716049384 Combine like terms: -0.8888888889 + 0.07716049384 = -0.81172839506 0.07716049384 + 0.5555555556x + x2 = -0.81172839506 Factor a perfect square on the left side: (x + 0.2777777778)(x + 0.2777777778) = -0.81172839506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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