Solve for x
x=\frac{y^{2}-4}{12}
Solve for y (complex solution)
y=-2\sqrt{3x+1}
y=2\sqrt{3x+1}
Solve for y
y=2\sqrt{3x+1}
y=-2\sqrt{3x+1}\text{, }x\geq -\frac{1}{3}
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12x+4=y^{2}
Swap sides so that all variable terms are on the left hand side.
12x=y^{2}-4
Subtract 4 from both sides.
\frac{12x}{12}=\frac{y^{2}-4}{12}
Divide both sides by 12.
x=\frac{y^{2}-4}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{y^{2}}{12}-\frac{1}{3}
Divide y^{2}-4 by 12.
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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