Solve for x
x=\frac{-y^{2}-5}{6}
Solve for y (complex solution)
y=-\sqrt{-6x-5}
y=\sqrt{-6x-5}
Solve for y
y=\sqrt{-6x-5}
y=-\sqrt{-6x-5}\text{, }x\leq -\frac{5}{6}
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6x+5=-y^{2}
Subtract y^{2} from both sides. Anything subtracted from zero gives its negation.
6x=-y^{2}-5
Subtract 5 from both sides.
\frac{6x}{6}=\frac{-y^{2}-5}{6}
Divide both sides by 6.
x=\frac{-y^{2}-5}{6}
Dividing by 6 undoes the multiplication by 6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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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