( \frac { 4 } { 7 } x \times \frac { 7 } { 2 } ) + 4 ( \frac { 4 } { 7 } x + 7
Evaluate
\frac{30x}{7}+28
Expand
\frac{30x}{7}+28
Graph
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\frac{4\times 7}{7\times 2}x+4\left(\frac{4}{7}x+7\right)
Multiply \frac{4}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{2}x+4\left(\frac{4}{7}x+7\right)
Cancel out 7 in both numerator and denominator.
2x+4\left(\frac{4}{7}x+7\right)
Divide 4 by 2 to get 2.
2x+4\times \frac{4}{7}x+28
Use the distributive property to multiply 4 by \frac{4}{7}x+7.
2x+\frac{4\times 4}{7}x+28
Express 4\times \frac{4}{7} as a single fraction.
2x+\frac{16}{7}x+28
Multiply 4 and 4 to get 16.
\frac{30}{7}x+28
Combine 2x and \frac{16}{7}x to get \frac{30}{7}x.
\frac{4\times 7}{7\times 2}x+4\left(\frac{4}{7}x+7\right)
Multiply \frac{4}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{2}x+4\left(\frac{4}{7}x+7\right)
Cancel out 7 in both numerator and denominator.
2x+4\left(\frac{4}{7}x+7\right)
Divide 4 by 2 to get 2.
2x+4\times \frac{4}{7}x+28
Use the distributive property to multiply 4 by \frac{4}{7}x+7.
2x+\frac{4\times 4}{7}x+28
Express 4\times \frac{4}{7} as a single fraction.
2x+\frac{16}{7}x+28
Multiply 4 and 4 to get 16.
\frac{30}{7}x+28
Combine 2x and \frac{16}{7}x to get \frac{30}{7}x.
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}