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5\times 6=x\times \frac{9}{0.45}
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.
30=x\times \frac{9}{0.45}
Multiply 5 and 6 to get 30.
30=x\times \frac{900}{45}
Expand \frac{9}{0.45} by multiplying both numerator and the denominator by 100.
30=x\times 20
Divide 900 by 45 to get 20.
x\times 20=30
Swap sides so that all variable terms are on the left hand side.
x=\frac{30}{20}
Divide both sides by 20.
x=\frac{3}{2}
Reduce the fraction \frac{30}{20} to lowest terms by extracting and canceling out 10.