Evaluate
\frac{27x}{2}+7
Factor
\frac{27x+14}{2}
Graph
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\frac{1}{2}x+10+15x-1\times 2x-3
Multiply 2 and 5 to get 10.
\frac{31}{2}x+10-1\times 2x-3
Combine \frac{1}{2}x and 15x to get \frac{31}{2}x.
\frac{31}{2}x+10-2x-3
Multiply 1 and 2 to get 2.
\frac{27}{2}x+10-3
Combine \frac{31}{2}x and -2x to get \frac{27}{2}x.
\frac{27}{2}x+7
Subtract 3 from 10 to get 7.
\frac{27x+14}{2}
Factor out \frac{1}{2}.
27x+14
Consider x+20+30x-4x-6. Multiply and combine like terms.
\frac{27x+14}{2}
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}