Solve for E (complex solution)
\left\{\begin{matrix}E=\frac{9\left(10-x\right)}{2F}\text{, }&F\neq 0\\E\in \mathrm{C}\text{, }&x=10\text{ and }F=0\end{matrix}\right.
Solve for F (complex solution)
\left\{\begin{matrix}F=\frac{9\left(10-x\right)}{2E}\text{, }&E\neq 0\\F\in \mathrm{C}\text{, }&x=10\text{ and }E=0\end{matrix}\right.
Solve for E
\left\{\begin{matrix}E=\frac{9\left(10-x\right)}{2F}\text{, }&F\neq 0\\E\in \mathrm{R}\text{, }&x=10\text{ and }F=0\end{matrix}\right.
Solve for F
\left\{\begin{matrix}F=\frac{9\left(10-x\right)}{2E}\text{, }&E\neq 0\\F\in \mathrm{R}\text{, }&x=10\text{ and }E=0\end{matrix}\right.
Graph
Share
Copied to clipboard
450-45x=10FE
Multiply both sides of the equation by 10.
10FE=450-45x
Swap sides so that all variable terms are on the left hand side.
\frac{10FE}{10F}=\frac{450-45x}{10F}
Divide both sides by 10F.
E=\frac{450-45x}{10F}
Dividing by 10F undoes the multiplication by 10F.
E=\frac{9\left(10-x\right)}{2F}
Divide 450-45x by 10F.
450-45x=10FE
Multiply both sides of the equation by 10.
10FE=450-45x
Swap sides so that all variable terms are on the left hand side.
10EF=450-45x
The equation is in standard form.
\frac{10EF}{10E}=\frac{450-45x}{10E}
Divide both sides by 10E.
F=\frac{450-45x}{10E}
Dividing by 10E undoes the multiplication by 10E.
F=\frac{9\left(10-x\right)}{2E}
Divide 450-45x by 10E.
450-45x=10FE
Multiply both sides of the equation by 10.
10FE=450-45x
Swap sides so that all variable terms are on the left hand side.
\frac{10FE}{10F}=\frac{450-45x}{10F}
Divide both sides by 10F.
E=\frac{450-45x}{10F}
Dividing by 10F undoes the multiplication by 10F.
E=\frac{9\left(10-x\right)}{2F}
Divide 450-45x by 10F.
450-45x=10FE
Multiply both sides of the equation by 10.
10FE=450-45x
Swap sides so that all variable terms are on the left hand side.
10EF=450-45x
The equation is in standard form.
\frac{10EF}{10E}=\frac{450-45x}{10E}
Divide both sides by 10E.
F=\frac{450-45x}{10E}
Dividing by 10E undoes the multiplication by 10E.
F=\frac{9\left(10-x\right)}{2E}
Divide 450-45x by 10E.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}