Solve for S
S=4a+7
Solve for a
a=\frac{S-7}{4}
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S=a\left(-2\right)^{2}+7
Subtract 4 from 2 to get -2.
S=a\times 4+7
Calculate -2 to the power of 2 and get 4.
S=a\left(-2\right)^{2}+7
Subtract 4 from 2 to get -2.
S=a\times 4+7
Calculate -2 to the power of 2 and get 4.
a\times 4+7=S
Swap sides so that all variable terms are on the left hand side.
a\times 4=S-7
Subtract 7 from both sides.
4a=S-7
The equation is in standard form.
\frac{4a}{4}=\frac{S-7}{4}
Divide both sides by 4.
a=\frac{S-7}{4}
Dividing by 4 undoes the multiplication by 4.
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Limits
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