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This equation has no binomial factors with integer coefficients.
The roots are
x = (-3 + √89)/8 ≈ 0.8042476415070754
x = (-3 - √89)/8 ≈ -1.5542476415070754
The roots are
x = (-3 + √89)/8 ≈ 0.8042476415070754
x = (-3 - √89)/8 ≈ -1.5542476415070754
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