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Simplifying 17x2 + 69x + 130 = 0 Reorder the terms: 130 + 69x + 17x2 = 0 Solving 130 + 69x + 17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 7.647058824 + 4.058823529x + x2 = 0 Move the constant term to the right: Add '-7.647058824' to each side of the equation. 7.647058824 + 4.058823529x + -7.647058824 + x2 = 0 + -7.647058824 Reorder the terms: 7.647058824 + -7.647058824 + 4.058823529x + x2 = 0 + -7.647058824 Combine like terms: 7.647058824 + -7.647058824 = 0.000000000 0.000000000 + 4.058823529x + x2 = 0 + -7.647058824 4.058823529x + x2 = 0 + -7.647058824 Combine like terms: 0 + -7.647058824 = -7.647058824 4.058823529x + x2 = -7.647058824 The x term is 4.058823529x. Take half its coefficient (2.029411765). Square it (4.118512112) and add it to both sides. Add '4.118512112' to each side of the equation. 4.058823529x + 4.118512112 + x2 = -7.647058824 + 4.118512112 Reorder the terms: 4.118512112 + 4.058823529x + x2 = -7.647058824 + 4.118512112 Combine like terms: -7.647058824 + 4.118512112 = -3.528546712 4.118512112 + 4.058823529x + x2 = -3.528546712 Factor a perfect square on the left side: (x + 2.029411765)(x + 2.029411765) = -3.528546712 Can't calculate square root of the right side. The solution to this equation could not be determined.
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