Solve for a
a=-\frac{1}{5}=-0.2
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\left(a+2\right)\times 2+\left(a-1\right)\times 3=0
Variable a cannot be equal to any of the values -2,1 since division by zero is not defined. Multiply both sides of the equation by \left(a-1\right)\left(a+2\right), the least common multiple of a-1,a+2.
2a+4+\left(a-1\right)\times 3=0
Use the distributive property to multiply a+2 by 2.
2a+4+3a-3=0
Use the distributive property to multiply a-1 by 3.
5a+4-3=0
Combine 2a and 3a to get 5a.
5a+1=0
Subtract 3 from 4 to get 1.
5a=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
a=\frac{-1}{5}
Divide both sides by 5.
a=-\frac{1}{5}
Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.
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