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Simplifying 9(x2 + -8x + 16) + 1 = 0 Reorder the terms: 9(16 + -8x + x2) + 1 = 0 (16 * 9 + -8x * 9 + x2 * 9) + 1 = 0 (144 + -72x + 9x2) + 1 = 0 Reorder the terms: 144 + 1 + -72x + 9x2 = 0 Combine like terms: 144 + 1 = 145 145 + -72x + 9x2 = 0 Solving 145 + -72x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 16.11111111 + -8x + x2 = 0 Move the constant term to the right: Add '-16.11111111' to each side of the equation. 16.11111111 + -8x + -16.11111111 + x2 = 0 + -16.11111111 Reorder the terms: 16.11111111 + -16.11111111 + -8x + x2 = 0 + -16.11111111 Combine like terms: 16.11111111 + -16.11111111 = 0.00000000 0.00000000 + -8x + x2 = 0 + -16.11111111 -8x + x2 = 0 + -16.11111111 Combine like terms: 0 + -16.11111111 = -16.11111111 -8x + x2 = -16.11111111 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -16.11111111 + 16 Reorder the terms: 16 + -8x + x2 = -16.11111111 + 16 Combine like terms: -16.11111111 + 16 = -0.11111111 16 + -8x + x2 = -0.11111111 Factor a perfect square on the left side: (x + -4)(x + -4) = -0.11111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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