Solve for x
x=\frac{3\Lambda }{5}
Solve for Λ
\Lambda =\frac{5x}{3}
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3\Lambda -3x=2x
Use the distributive property to multiply 3 by \Lambda -x.
3\Lambda -3x-2x=0
Subtract 2x from both sides.
3\Lambda -5x=0
Combine -3x and -2x to get -5x.
-5x=-3\Lambda
Subtract 3\Lambda from both sides. Anything subtracted from zero gives its negation.
\frac{-5x}{-5}=-\frac{3\Lambda }{-5}
Divide both sides by -5.
x=-\frac{3\Lambda }{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{3\Lambda }{5}
Divide -3\Lambda by -5.
3\Lambda -3x=2x
Use the distributive property to multiply 3 by \Lambda -x.
3\Lambda =2x+3x
Add 3x to both sides.
3\Lambda =5x
Combine 2x and 3x to get 5x.
\frac{3\Lambda }{3}=\frac{5x}{3}
Divide both sides by 3.
\Lambda =\frac{5x}{3}
Dividing by 3 undoes the multiplication by 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}