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Simplifying 15X4 + 97X2 + 616 = 0 Reorder the terms: 616 + 97X2 + 15X4 = 0 Solving 616 + 97X2 + 15X4 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 41.06666667 + 6.466666667X2 + X4 = 0 Move the constant term to the right: Add '-41.06666667' to each side of the equation. 41.06666667 + 6.466666667X2 + -41.06666667 + X4 = 0 + -41.06666667 Reorder the terms: 41.06666667 + -41.06666667 + 6.466666667X2 + X4 = 0 + -41.06666667 Combine like terms: 41.06666667 + -41.06666667 = 0.00000000 0.00000000 + 6.466666667X2 + X4 = 0 + -41.06666667 6.466666667X2 + X4 = 0 + -41.06666667 Combine like terms: 0 + -41.06666667 = -41.06666667 6.466666667X2 + X4 = -41.06666667 The X term is 6.466666667X2. Take half its coefficient (3.233333334). Square it (10.45444445) and add it to both sides. Add '10.45444445' to each side of the equation. 6.466666667X2 + 10.45444445 + X4 = -41.06666667 + 10.45444445 Reorder the terms: 10.45444445 + 6.466666667X2 + X4 = -41.06666667 + 10.45444445 Combine like terms: -41.06666667 + 10.45444445 = -30.61222222 10.45444445 + 6.466666667X2 + X4 = -30.61222222 Factor a perfect square on the left side: (X2 + 3.233333334)(X2 + 3.233333334) = -30.61222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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