Solve for α
\alpha =\frac{32}{5}=6.4
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\frac{4}{5}\times 8=\alpha
Multiply both sides by 8.
\frac{4\times 8}{5}=\alpha
Express \frac{4}{5}\times 8 as a single fraction.
\frac{32}{5}=\alpha
Multiply 4 and 8 to get 32.
\alpha =\frac{32}{5}
Swap sides so that all variable terms are on the left hand side.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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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