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Simplifying 9x2 + -54x + 729 = 644 Reorder the terms: 729 + -54x + 9x2 = 644 Solving 729 + -54x + 9x2 = 644 Solving for variable 'x'. Reorder the terms: 729 + -644 + -54x + 9x2 = 644 + -644 Combine like terms: 729 + -644 = 85 85 + -54x + 9x2 = 644 + -644 Combine like terms: 644 + -644 = 0 85 + -54x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 9.444444444 + -6x + x2 = 0 Move the constant term to the right: Add '-9.444444444' to each side of the equation. 9.444444444 + -6x + -9.444444444 + x2 = 0 + -9.444444444 Reorder the terms: 9.444444444 + -9.444444444 + -6x + x2 = 0 + -9.444444444 Combine like terms: 9.444444444 + -9.444444444 = 0.000000000 0.000000000 + -6x + x2 = 0 + -9.444444444 -6x + x2 = 0 + -9.444444444 Combine like terms: 0 + -9.444444444 = -9.444444444 -6x + x2 = -9.444444444 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 = -9.444444444 + 9 Reorder the terms: 9 + -6x + x2 = -9.444444444 + 9 Combine like terms: -9.444444444 + 9 = -0.444444444 9 + -6x + x2 = -0.444444444 Factor a perfect square on the left side: (x + -3)(x + -3) = -0.444444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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