I will assume you meant:
x^2/162 +x/18 + 1/9 = 0
the LCD is 162, so multiply each term by that
x^2 + 9x + 18 = 0
(x+3)(x+6) = 0
x = -3 or x = -6
Use factoring to solve the polynomial equation:
HINT: Try multiplying each side of the equation by a number to eliminate the denominators.
x2/162 + X/18 + 1/9 =0
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