Solve for x
x = \frac{105}{2} = 52\frac{1}{2} = 52.5
Graph
Share
Copied to clipboard
x=9\times \frac{\frac{5}{2}}{\frac{3}{7}}
Multiply both sides of the equation by 9.
x=9\times \frac{5}{2}\times \frac{7}{3}
Divide \frac{5}{2} by \frac{3}{7} by multiplying \frac{5}{2} by the reciprocal of \frac{3}{7}.
x=9\times \frac{5\times 7}{2\times 3}
Multiply \frac{5}{2} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.
x=9\times \frac{35}{6}
Do the multiplications in the fraction \frac{5\times 7}{2\times 3}.
x=\frac{9\times 35}{6}
Express 9\times \frac{35}{6} as a single fraction.
x=\frac{315}{6}
Multiply 9 and 35 to get 315.
x=\frac{105}{2}
Reduce the fraction \frac{315}{6} to lowest terms by extracting and canceling out 3.
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}