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Simplifying 16x2 + 35x + 167 = 0 Reorder the terms: 167 + 35x + 16x2 = 0 Solving 167 + 35x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 10.4375 + 2.1875x + x2 = 0 Move the constant term to the right: Add '-10.4375' to each side of the equation. 10.4375 + 2.1875x + -10.4375 + x2 = 0 + -10.4375 Reorder the terms: 10.4375 + -10.4375 + 2.1875x + x2 = 0 + -10.4375 Combine like terms: 10.4375 + -10.4375 = 0.0000 0.0000 + 2.1875x + x2 = 0 + -10.4375 2.1875x + x2 = 0 + -10.4375 Combine like terms: 0 + -10.4375 = -10.4375 2.1875x + x2 = -10.4375 The x term is 2.1875x. Take half its coefficient (1.09375). Square it (1.196289063) and add it to both sides. Add '1.196289063' to each side of the equation. 2.1875x + 1.196289063 + x2 = -10.4375 + 1.196289063 Reorder the terms: 1.196289063 + 2.1875x + x2 = -10.4375 + 1.196289063 Combine like terms: -10.4375 + 1.196289063 = -9.241210937 1.196289063 + 2.1875x + x2 = -9.241210937 Factor a perfect square on the left side: (x + 1.09375)(x + 1.09375) = -9.241210937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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