Solve for A
A=\frac{3x}{5}-\frac{I_{0}}{10}
Solve for I_0
I_{0}=6x-10A
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6x=10A+I_{0}
Combine 2x and 4x to get 6x.
10A+I_{0}=6x
Swap sides so that all variable terms are on the left hand side.
10A=6x-I_{0}
Subtract I_{0} from both sides.
\frac{10A}{10}=\frac{6x-I_{0}}{10}
Divide both sides by 10.
A=\frac{6x-I_{0}}{10}
Dividing by 10 undoes the multiplication by 10.
A=\frac{3x}{5}-\frac{I_{0}}{10}
Divide 6x-I_{0} by 10.
6x=10A+I_{0}
Combine 2x and 4x to get 6x.
10A+I_{0}=6x
Swap sides so that all variable terms are on the left hand side.
I_{0}=6x-10A
Subtract 10A from both sides.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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