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Simplifying 3x2 + -5x + 54 = 0 Reorder the terms: 54 + -5x + 3x2 = 0 Solving 54 + -5x + 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'. 18 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -1.666666667x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -1.666666667x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1.666666667x + x2 = 0 + -18 -1.666666667x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1.666666667x + x2 = -18 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -18 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -18 + 0.6944444447 Combine like terms: -18 + 0.6944444447 = -17.3055555553 0.6944444447 + -1.666666667x + x2 = -17.3055555553 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -17.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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