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Simplifying 9x2 = -77 + 18x Solving 9x2 = -77 + 18x Solving for variable 'x'. Reorder the terms: 77 + -18x + 9x2 = -77 + 18x + 77 + -18x Reorder the terms: 77 + -18x + 9x2 = -77 + 77 + 18x + -18x Combine like terms: -77 + 77 = 0 77 + -18x + 9x2 = 0 + 18x + -18x 77 + -18x + 9x2 = 18x + -18x Combine like terms: 18x + -18x = 0 77 + -18x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 8.555555556 + -2x + x2 = 0 Move the constant term to the right: Add '-8.555555556' to each side of the equation. 8.555555556 + -2x + -8.555555556 + x2 = 0 + -8.555555556 Reorder the terms: 8.555555556 + -8.555555556 + -2x + x2 = 0 + -8.555555556 Combine like terms: 8.555555556 + -8.555555556 = 0.000000000 0.000000000 + -2x + x2 = 0 + -8.555555556 -2x + x2 = 0 + -8.555555556 Combine like terms: 0 + -8.555555556 = -8.555555556 -2x + x2 = -8.555555556 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -8.555555556 + 1 Reorder the terms: 1 + -2x + x2 = -8.555555556 + 1 Combine like terms: -8.555555556 + 1 = -7.555555556 1 + -2x + x2 = -7.555555556 Factor a perfect square on the left side: (x + -1)(x + -1) = -7.555555556 Can't calculate square root of the right side. The solution to this equation could not be determined.
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