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Simplifying 9x2 + -18x + 81 = -65 Reorder the terms: 81 + -18x + 9x2 = -65 Solving 81 + -18x + 9x2 = -65 Solving for variable 'x'. Reorder the terms: 81 + 65 + -18x + 9x2 = -65 + 65 Combine like terms: 81 + 65 = 146 146 + -18x + 9x2 = -65 + 65 Combine like terms: -65 + 65 = 0 146 + -18x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 16.22222222 + -2x + x2 = 0 Move the constant term to the right: Add '-16.22222222' to each side of the equation. 16.22222222 + -2x + -16.22222222 + x2 = 0 + -16.22222222 Reorder the terms: 16.22222222 + -16.22222222 + -2x + x2 = 0 + -16.22222222 Combine like terms: 16.22222222 + -16.22222222 = 0.00000000 0.00000000 + -2x + x2 = 0 + -16.22222222 -2x + x2 = 0 + -16.22222222 Combine like terms: 0 + -16.22222222 = -16.22222222 -2x + x2 = -16.22222222 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 = -16.22222222 + 1 Reorder the terms: 1 + -2x + x2 = -16.22222222 + 1 Combine like terms: -16.22222222 + 1 = -15.22222222 1 + -2x + x2 = -15.22222222 Factor a perfect square on the left side: (x + -1)(x + -1) = -15.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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