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Simplifying 9x2 + 65x + 150 = 0 Reorder the terms: 150 + 65x + 9x2 = 0 Solving 150 + 65x + 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'. 16.66666667 + 7.222222222x + x2 = 0 Move the constant term to the right: Add '-16.66666667' to each side of the equation. 16.66666667 + 7.222222222x + -16.66666667 + x2 = 0 + -16.66666667 Reorder the terms: 16.66666667 + -16.66666667 + 7.222222222x + x2 = 0 + -16.66666667 Combine like terms: 16.66666667 + -16.66666667 = 0.00000000 0.00000000 + 7.222222222x + x2 = 0 + -16.66666667 7.222222222x + x2 = 0 + -16.66666667 Combine like terms: 0 + -16.66666667 = -16.66666667 7.222222222x + x2 = -16.66666667 The x term is 7.222222222x. Take half its coefficient (3.611111111). Square it (13.04012346) and add it to both sides. Add '13.04012346' to each side of the equation. 7.222222222x + 13.04012346 + x2 = -16.66666667 + 13.04012346 Reorder the terms: 13.04012346 + 7.222222222x + x2 = -16.66666667 + 13.04012346 Combine like terms: -16.66666667 + 13.04012346 = -3.62654321 13.04012346 + 7.222222222x + x2 = -3.62654321 Factor a perfect square on the left side: (x + 3.611111111)(x + 3.611111111) = -3.62654321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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