Solve for a
a=-x^{3}+\frac{3x^{2}}{2}+y
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x^{3}-\frac{3}{2}x^{2}+a=y
Swap sides so that all variable terms are on the left hand side.
-\frac{3}{2}x^{2}+a=y-x^{3}
Subtract x^{3} from both sides.
a=y-x^{3}+\frac{3}{2}x^{2}
Add \frac{3}{2}x^{2} to both sides.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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