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Simplifying 9x2 + 17x + 34 = 0 Reorder the terms: 34 + 17x + 9x2 = 0 Solving 34 + 17x + 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'. 3.777777778 + 1.888888889x + x2 = 0 Move the constant term to the right: Add '-3.777777778' to each side of the equation. 3.777777778 + 1.888888889x + -3.777777778 + x2 = 0 + -3.777777778 Reorder the terms: 3.777777778 + -3.777777778 + 1.888888889x + x2 = 0 + -3.777777778 Combine like terms: 3.777777778 + -3.777777778 = 0.000000000 0.000000000 + 1.888888889x + x2 = 0 + -3.777777778 1.888888889x + x2 = 0 + -3.777777778 Combine like terms: 0 + -3.777777778 = -3.777777778 1.888888889x + x2 = -3.777777778 The x term is 1.888888889x. Take half its coefficient (0.9444444445). Square it (0.8919753087) and add it to both sides. Add '0.8919753087' to each side of the equation. 1.888888889x + 0.8919753087 + x2 = -3.777777778 + 0.8919753087 Reorder the terms: 0.8919753087 + 1.888888889x + x2 = -3.777777778 + 0.8919753087 Combine like terms: -3.777777778 + 0.8919753087 = -2.8858024693 0.8919753087 + 1.888888889x + x2 = -2.8858024693 Factor a perfect square on the left side: (x + 0.9444444445)(x + 0.9444444445) = -2.8858024693 Can't calculate square root of the right side. The solution to this equation could not be determined.
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