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2\times 5^{2}-5x-18=0
Multiply both sides of the equation by 2.
2\times 25-5x-18=0
Calculate 5 to the power of 2 and get 25.
50-5x-18=0
Multiply 2 and 25 to get 50.
32-5x=0
Subtract 18 from 50 to get 32.
-5x=-32
Subtract 32 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-32}{-5}
Divide both sides by -5.
x=\frac{32}{5}
Fraction \frac{-32}{-5} can be simplified to \frac{32}{5} by removing the negative sign from both the numerator and the denominator.