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Simplifying 9x2 + -9x + -2 = -10 Reorder the terms: -2 + -9x + 9x2 = -10 Solving -2 + -9x + 9x2 = -10 Solving for variable 'x'. Reorder the terms: -2 + 10 + -9x + 9x2 = -10 + 10 Combine like terms: -2 + 10 = 8 8 + -9x + 9x2 = -10 + 10 Combine like terms: -10 + 10 = 0 8 + -9x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + -1x + x2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + -1x + -0.8888888889 + x2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + -1x + x2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + -1x + x2 = 0 + -0.8888888889 -1x + x2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 -1x + x2 = -0.8888888889 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.8888888889 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.8888888889 + 0.25 Combine like terms: -0.8888888889 + 0.25 = -0.6388888889 0.25 + -1x + x2 = -0.6388888889 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.6388888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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