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Simplifying 9x2 + -32x + 56 = 0 Reorder the terms: 56 + -32x + 9x2 = 0 Solving 56 + -32x + 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'. 6.222222222 + -3.555555556x + x2 = 0 Move the constant term to the right: Add '-6.222222222' to each side of the equation. 6.222222222 + -3.555555556x + -6.222222222 + x2 = 0 + -6.222222222 Reorder the terms: 6.222222222 + -6.222222222 + -3.555555556x + x2 = 0 + -6.222222222 Combine like terms: 6.222222222 + -6.222222222 = 0.000000000 0.000000000 + -3.555555556x + x2 = 0 + -6.222222222 -3.555555556x + x2 = 0 + -6.222222222 Combine like terms: 0 + -6.222222222 = -6.222222222 -3.555555556x + x2 = -6.222222222 The x term is -3.555555556x. Take half its coefficient (-1.777777778). Square it (3.160493828) and add it to both sides. Add '3.160493828' to each side of the equation. -3.555555556x + 3.160493828 + x2 = -6.222222222 + 3.160493828 Reorder the terms: 3.160493828 + -3.555555556x + x2 = -6.222222222 + 3.160493828 Combine like terms: -6.222222222 + 3.160493828 = -3.061728394 3.160493828 + -3.555555556x + x2 = -3.061728394 Factor a perfect square on the left side: (x + -1.777777778)(x + -1.777777778) = -3.061728394 Can't calculate square root of the right side. The solution to this equation could not be determined.
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