Solve for u
u=-1
Quiz
Linear Equation
5 problems similar to:
\frac { u } { 5 } - \frac { 3 } { 10 } = \frac { u } { 2 }
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2u-3=5u
Multiply both sides of the equation by 10, the least common multiple of 5,10,2.
2u-3-5u=0
Subtract 5u from both sides.
-3u-3=0
Combine 2u and -5u to get -3u.
-3u=3
Add 3 to both sides. Anything plus zero gives itself.
u=\frac{3}{-3}
Divide both sides by -3.
u=-1
Divide 3 by -3 to get -1.
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}