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9+2x\left(-5\right)=0
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x.
9-10x=0
Multiply 2 and -5 to get -10.
-10x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9}{-10}
Divide both sides by -10.
x=\frac{9}{10}
Fraction \frac{-9}{-10} can be simplified to \frac{9}{10} by removing the negative sign from both the numerator and the denominator.