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Simplifying 9x2 + -4x + 109 = 0 Reorder the terms: 109 + -4x + 9x2 = 0 Solving 109 + -4x + 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'. 12.11111111 + -0.4444444444x + x2 = 0 Move the constant term to the right: Add '-12.11111111' to each side of the equation. 12.11111111 + -0.4444444444x + -12.11111111 + x2 = 0 + -12.11111111 Reorder the terms: 12.11111111 + -12.11111111 + -0.4444444444x + x2 = 0 + -12.11111111 Combine like terms: 12.11111111 + -12.11111111 = 0.00000000 0.00000000 + -0.4444444444x + x2 = 0 + -12.11111111 -0.4444444444x + x2 = 0 + -12.11111111 Combine like terms: 0 + -12.11111111 = -12.11111111 -0.4444444444x + x2 = -12.11111111 The x term is -0.4444444444x. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444x + 0.04938271604 + x2 = -12.11111111 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444x + x2 = -12.11111111 + 0.04938271604 Combine like terms: -12.11111111 + 0.04938271604 = -12.06172839396 0.04938271604 + -0.4444444444x + x2 = -12.06172839396 Factor a perfect square on the left side: (x + -0.2222222222)(x + -0.2222222222) = -12.06172839396 Can't calculate square root of the right side. The solution to this equation could not be determined.
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