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Simplifying 3 = 5x2 + -7x + 8 + -16x2 + -25 Reorder the terms: 3 = 8 + -25 + -7x + 5x2 + -16x2 Combine like terms: 8 + -25 = -17 3 = -17 + -7x + 5x2 + -16x2 Combine like terms: 5x2 + -16x2 = -11x2 3 = -17 + -7x + -11x2 Solving 3 = -17 + -7x + -11x2 Solving for variable 'x'. Combine like terms: 3 + 17 = 20 20 + 7x + 11x2 = -17 + -7x + -11x2 + 17 + 7x + 11x2 Reorder the terms: 20 + 7x + 11x2 = -17 + 17 + -7x + 7x + -11x2 + 11x2 Combine like terms: -17 + 17 = 0 20 + 7x + 11x2 = 0 + -7x + 7x + -11x2 + 11x2 20 + 7x + 11x2 = -7x + 7x + -11x2 + 11x2 Combine like terms: -7x + 7x = 0 20 + 7x + 11x2 = 0 + -11x2 + 11x2 20 + 7x + 11x2 = -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 20 + 7x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.818181818 + 0.6363636364x + x2 = 0 Move the constant term to the right: Add '-1.818181818' to each side of the equation. 1.818181818 + 0.6363636364x + -1.818181818 + x2 = 0 + -1.818181818 Reorder the terms: 1.818181818 + -1.818181818 + 0.6363636364x + x2 = 0 + -1.818181818 Combine like terms: 1.818181818 + -1.818181818 = 0.000000000 0.000000000 + 0.6363636364x + x2 = 0 + -1.818181818 0.6363636364x + x2 = 0 + -1.818181818 Combine like terms: 0 + -1.818181818 = -1.818181818 0.6363636364x + x2 = -1.818181818 The x term is 0.6363636364x. Take half its coefficient (0.3181818182). Square it (0.1012396694) and add it to both sides. Add '0.1012396694' to each side of the equation. 0.6363636364x + 0.1012396694 + x2 = -1.818181818 + 0.1012396694 Reorder the terms: 0.1012396694 + 0.6363636364x + x2 = -1.818181818 + 0.1012396694 Combine like terms: -1.818181818 + 0.1012396694 = -1.7169421486 0.1012396694 + 0.6363636364x + x2 = -1.7169421486 Factor a perfect square on the left side: (x + 0.3181818182)(x + 0.3181818182) = -1.7169421486 Can't calculate square root of the right side. The solution to this equation could not be determined.
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