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Simplifying 3x2 + -18x + 65 = 0 Reorder the terms: 65 + -18x + 3x2 = 0 Solving 65 + -18x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 21.66666667 + -6x + x2 = 0 Move the constant term to the right: Add '-21.66666667' to each side of the equation. 21.66666667 + -6x + -21.66666667 + x2 = 0 + -21.66666667 Reorder the terms: 21.66666667 + -21.66666667 + -6x + x2 = 0 + -21.66666667 Combine like terms: 21.66666667 + -21.66666667 = 0.00000000 0.00000000 + -6x + x2 = 0 + -21.66666667 -6x + x2 = 0 + -21.66666667 Combine like terms: 0 + -21.66666667 = -21.66666667 -6x + x2 = -21.66666667 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -21.66666667 + 9 Reorder the terms: 9 + -6x + x2 = -21.66666667 + 9 Combine like terms: -21.66666667 + 9 = -12.66666667 9 + -6x + x2 = -12.66666667 Factor a perfect square on the left side: (x + -3)(x + -3) = -12.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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