Solve for y
y=\frac{3x^{2}}{4}-\frac{1}{2}
Solve for x (complex solution)
x=-\frac{\sqrt{12y+6}}{3}
x=\frac{\sqrt{12y+6}}{3}
Solve for x
x=\frac{\sqrt{12y+6}}{3}
x=-\frac{\sqrt{12y+6}}{3}\text{, }y\geq -\frac{1}{2}
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-4y=2-3x^{2}
Subtract 3x^{2} from both sides.
\frac{-4y}{-4}=\frac{2-3x^{2}}{-4}
Divide both sides by -4.
y=\frac{2-3x^{2}}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{3x^{2}}{4}-\frac{1}{2}
Divide 2-3x^{2} by -4.
Examples
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{ 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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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