Solve for x
x=-4y^{2}+8y-7
Solve for y (complex solution)
y=-\frac{\sqrt{-x-3}}{2}+1
y=\frac{\sqrt{-x-3}}{2}+1
Solve for y
y=-\frac{\sqrt{-x-3}}{2}+1
y=\frac{\sqrt{-x-3}}{2}+1\text{, }x\leq -3
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8y-x-7=4y^{2}
Add 4y^{2} to both sides. Anything plus zero gives itself.
-x-7=4y^{2}-8y
Subtract 8y from both sides.
-x=4y^{2}-8y+7
Add 7 to both sides.
\frac{-x}{-1}=\frac{4y^{2}-8y+7}{-1}
Divide both sides by -1.
x=\frac{4y^{2}-8y+7}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-4y^{2}+8y-7
Divide 4y^{2}-8y+7 by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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