Solve for x
x=6\sqrt{7}\approx 15.874507866
Graph
Share
Copied to clipboard
3x-x+2x=12\sqrt{28}
Multiply both sides of the equation by 6, the least common multiple of 2,6,3.
5x-x=12\sqrt{28}
Combine 3x and 2x to get 5x.
5x-x=12\times 2\sqrt{7}
Factor 28=2^{2}\times 7. Rewrite the square root of the product \sqrt{2^{2}\times 7} as the product of square roots \sqrt{2^{2}}\sqrt{7}. Take the square root of 2^{2}.
5x-x=24\sqrt{7}
Multiply 12 and 2 to get 24.
4x=24\sqrt{7}
Combine 5x and -x to get 4x.
\frac{4x}{4}=\frac{24\sqrt{7}}{4}
Divide both sides by 4.
x=\frac{24\sqrt{7}}{4}
Dividing by 4 undoes the multiplication by 4.
x=6\sqrt{7}
Divide 24\sqrt{7} by 4.
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}