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Simplifying 17x2 + 56x = -49 Reorder the terms: 56x + 17x2 = -49 Solving 56x + 17x2 = -49 Solving for variable 'x'. Reorder the terms: 49 + 56x + 17x2 = -49 + 49 Combine like terms: -49 + 49 = 0 49 + 56x + 17x2 = 0 Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 2.882352941 + 3.294117647x + x2 = 0 Move the constant term to the right: Add '-2.882352941' to each side of the equation. 2.882352941 + 3.294117647x + -2.882352941 + x2 = 0 + -2.882352941 Reorder the terms: 2.882352941 + -2.882352941 + 3.294117647x + x2 = 0 + -2.882352941 Combine like terms: 2.882352941 + -2.882352941 = 0.000000000 0.000000000 + 3.294117647x + x2 = 0 + -2.882352941 3.294117647x + x2 = 0 + -2.882352941 Combine like terms: 0 + -2.882352941 = -2.882352941 3.294117647x + x2 = -2.882352941 The x term is 3.294117647x. Take half its coefficient (1.647058824). Square it (2.712802770) and add it to both sides. Add '2.712802770' to each side of the equation. 3.294117647x + 2.712802770 + x2 = -2.882352941 + 2.712802770 Reorder the terms: 2.712802770 + 3.294117647x + x2 = -2.882352941 + 2.712802770 Combine like terms: -2.882352941 + 2.712802770 = -0.169550171 2.712802770 + 3.294117647x + x2 = -0.169550171 Factor a perfect square on the left side: (x + 1.647058824)(x + 1.647058824) = -0.169550171 Can't calculate square root of the right side. The solution to this equation could not be determined.
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