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Simplifying 7X2 + -48X + 144 = 0 Reorder the terms: 144 + -48X + 7X2 = 0 Solving 144 + -48X + 7X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 20.57142857 + -6.857142857X + X2 = 0 Move the constant term to the right: Add '-20.57142857' to each side of the equation. 20.57142857 + -6.857142857X + -20.57142857 + X2 = 0 + -20.57142857 Reorder the terms: 20.57142857 + -20.57142857 + -6.857142857X + X2 = 0 + -20.57142857 Combine like terms: 20.57142857 + -20.57142857 = 0.00000000 0.00000000 + -6.857142857X + X2 = 0 + -20.57142857 -6.857142857X + X2 = 0 + -20.57142857 Combine like terms: 0 + -20.57142857 = -20.57142857 -6.857142857X + X2 = -20.57142857 The X term is -6.857142857X. Take half its coefficient (-3.428571429). Square it (11.75510204) and add it to both sides. Add '11.75510204' to each side of the equation. -6.857142857X + 11.75510204 + X2 = -20.57142857 + 11.75510204 Reorder the terms: 11.75510204 + -6.857142857X + X2 = -20.57142857 + 11.75510204 Combine like terms: -20.57142857 + 11.75510204 = -8.81632653 11.75510204 + -6.857142857X + X2 = -8.81632653 Factor a perfect square on the left side: (X + -3.428571429)(X + -3.428571429) = -8.81632653 Can't calculate square root of the right side. The solution to this equation could not be determined.
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