Solve for a
a=-\frac{1}{9}\approx -0.111111111
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\left(a-1\right)\times 2=5a\times 4
Variable a cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by 5a\left(a-1\right), the least common multiple of 5a,a-1.
2a-2=5a\times 4
Use the distributive property to multiply a-1 by 2.
2a-2=20a
Multiply 5 and 4 to get 20.
2a-2-20a=0
Subtract 20a from both sides.
-18a-2=0
Combine 2a and -20a to get -18a.
-18a=2
Add 2 to both sides. Anything plus zero gives itself.
a=\frac{2}{-18}
Divide both sides by -18.
a=-\frac{1}{9}
Reduce the fraction \frac{2}{-18} to lowest terms by extracting and canceling out 2.
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