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Simplifying 9x2 + -21x + 38 = 0 Reorder the terms: 38 + -21x + 9x2 = 0 Solving 38 + -21x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4.222222222 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-4.222222222' to each side of the equation. 4.222222222 + -2.333333333x + -4.222222222 + x2 = 0 + -4.222222222 Reorder the terms: 4.222222222 + -4.222222222 + -2.333333333x + x2 = 0 + -4.222222222 Combine like terms: 4.222222222 + -4.222222222 = 0.000000000 0.000000000 + -2.333333333x + x2 = 0 + -4.222222222 -2.333333333x + x2 = 0 + -4.222222222 Combine like terms: 0 + -4.222222222 = -4.222222222 -2.333333333x + x2 = -4.222222222 The x term is -2.333333333x. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333x + 1.361111112 + x2 = -4.222222222 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -4.222222222 + 1.361111112 Combine like terms: -4.222222222 + 1.361111112 = -2.86111111 1.361111112 + -2.333333333x + x2 = -2.86111111 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -2.86111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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