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Simplifying -9x2 + 6x + -1 = x Reorder the terms: -1 + 6x + -9x2 = x Solving -1 + 6x + -9x2 = x Solving for variable 'x'. Reorder the terms: -1 + 6x + -1x + -9x2 = x + -1x Combine like terms: 6x + -1x = 5x -1 + 5x + -9x2 = x + -1x Combine like terms: x + -1x = 0 -1 + 5x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.1111111111 + -0.5555555556x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.5555555556x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.5555555556x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.5555555556x + x2 = 0 + -0.1111111111 -0.5555555556x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.5555555556x + x2 = -0.1111111111 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 = -0.1111111111 + 0.07716049384 Reorder the terms: 0.07716049384 + -0.5555555556x + x2 = -0.1111111111 + 0.07716049384 Combine like terms: -0.1111111111 + 0.07716049384 = -0.03395061726 0.07716049384 + -0.5555555556x + x2 = -0.03395061726 Factor a perfect square on the left side: (x + -0.2777777778)(x + -0.2777777778) = -0.03395061726 Can't calculate square root of the right side. The solution to this equation could not be determined.
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