Solve for y
y=\frac{\left(x-4\right)\left(x+2\right)}{4}
Solve for x (complex solution)
x=-\sqrt{4y+9}+1
x=\sqrt{4y+9}+1
Solve for x
x=-\sqrt{4y+9}+1
x=\sqrt{4y+9}+1\text{, }y\geq -\frac{9}{4}
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4y+2x+8=x^{2}
Add x^{2} to both sides. Anything plus zero gives itself.
4y+8=x^{2}-2x
Subtract 2x from both sides.
4y=x^{2}-2x-8
Subtract 8 from both sides.
\frac{4y}{4}=\frac{\left(x-4\right)\left(x+2\right)}{4}
Divide both sides by 4.
y=\frac{\left(x-4\right)\left(x+2\right)}{4}
Dividing by 4 undoes the multiplication by 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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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