\frac { 1 } { 8 } + \frac { a } { 4 } + \frac { 3,5 } { 2 } - 3 = 0
Solve for a
a=4,5
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1+2a+4\times 3,5-24=0
Multiply both sides of the equation by 8, the least common multiple of 8;4;2.
1+2a+14-24=0
Multiply 4 and 3,5 to get 14.
15+2a-24=0
Add 1 and 14 to get 15.
-9+2a=0
Subtract 24 from 15 to get -9.
2a=9
Add 9 to both sides. Anything plus zero gives itself.
a=\frac{9}{2}
Divide both sides by 2.
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}