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Simplifying 21x2 + -44x + 120 = 0 Reorder the terms: 120 + -44x + 21x2 = 0 Solving 120 + -44x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 5.714285714 + -2.095238095x + x2 = 0 Move the constant term to the right: Add '-5.714285714' to each side of the equation. 5.714285714 + -2.095238095x + -5.714285714 + x2 = 0 + -5.714285714 Reorder the terms: 5.714285714 + -5.714285714 + -2.095238095x + x2 = 0 + -5.714285714 Combine like terms: 5.714285714 + -5.714285714 = 0.000000000 0.000000000 + -2.095238095x + x2 = 0 + -5.714285714 -2.095238095x + x2 = 0 + -5.714285714 Combine like terms: 0 + -5.714285714 = -5.714285714 -2.095238095x + x2 = -5.714285714 The x term is -2.095238095x. Take half its coefficient (-1.047619048). Square it (1.097505670) and add it to both sides. Add '1.097505670' to each side of the equation. -2.095238095x + 1.097505670 + x2 = -5.714285714 + 1.097505670 Reorder the terms: 1.097505670 + -2.095238095x + x2 = -5.714285714 + 1.097505670 Combine like terms: -5.714285714 + 1.097505670 = -4.616780044 1.097505670 + -2.095238095x + x2 = -4.616780044 Factor a perfect square on the left side: (x + -1.047619048)(x + -1.047619048) = -4.616780044 Can't calculate square root of the right side. The solution to this equation could not be determined.
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