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Simplifying -1(22x + -83) + 54x + 21x2 + -13x = 0 Reorder the terms: -1(-83 + 22x) + 54x + 21x2 + -13x = 0 (-83 * -1 + 22x * -1) + 54x + 21x2 + -13x = 0 (83 + -22x) + 54x + 21x2 + -13x = 0 Reorder the terms: 83 + -22x + 54x + -13x + 21x2 = 0 Combine like terms: -22x + 54x = 32x 83 + 32x + -13x + 21x2 = 0 Combine like terms: 32x + -13x = 19x 83 + 19x + 21x2 = 0 Solving 83 + 19x + 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'. 3.952380952 + 0.9047619048x + x2 = 0 Move the constant term to the right: Add '-3.952380952' to each side of the equation. 3.952380952 + 0.9047619048x + -3.952380952 + x2 = 0 + -3.952380952 Reorder the terms: 3.952380952 + -3.952380952 + 0.9047619048x + x2 = 0 + -3.952380952 Combine like terms: 3.952380952 + -3.952380952 = 0.000000000 0.000000000 + 0.9047619048x + x2 = 0 + -3.952380952 0.9047619048x + x2 = 0 + -3.952380952 Combine like terms: 0 + -3.952380952 = -3.952380952 0.9047619048x + x2 = -3.952380952 The x term is 0.9047619048x. Take half its coefficient (0.4523809524). Square it (0.2046485261) and add it to both sides. Add '0.2046485261' to each side of the equation. 0.9047619048x + 0.2046485261 + x2 = -3.952380952 + 0.2046485261 Reorder the terms: 0.2046485261 + 0.9047619048x + x2 = -3.952380952 + 0.2046485261 Combine like terms: -3.952380952 + 0.2046485261 = -3.7477324259 0.2046485261 + 0.9047619048x + x2 = -3.7477324259 Factor a perfect square on the left side: (x + 0.4523809524)(x + 0.4523809524) = -3.7477324259 Can't calculate square root of the right side. The solution to this equation could not be determined.
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