Solve for y
y=\frac{3z-5x^{2}}{2}
Solve for x (complex solution)
x=-\frac{\sqrt{15z-10y}}{5}
x=\frac{\sqrt{15z-10y}}{5}
Solve for x
x=\frac{\sqrt{15z-10y}}{5}
x=-\frac{\sqrt{15z-10y}}{5}\text{, }y\leq \frac{3z}{2}
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2y-3z=-5x^{2}
Subtract 5x^{2} from both sides. Anything subtracted from zero gives its negation.
2y=-5x^{2}+3z
Add 3z to both sides.
2y=3z-5x^{2}
The equation is in standard form.
\frac{2y}{2}=\frac{3z-5x^{2}}{2}
Divide both sides by 2.
y=\frac{3z-5x^{2}}{2}
Dividing by 2 undoes the multiplication by 2.
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
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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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