Solve for x
x=\frac{4}{45}\approx 0.088888889
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\frac{3\sqrt{5x}}{3}=\frac{2}{3}
Divide both sides by 3.
\sqrt{5x}=\frac{2}{3}
Dividing by 3 undoes the multiplication by 3.
5x=\frac{4}{9}
Square both sides of the equation.
\frac{5x}{5}=\frac{\frac{4}{9}}{5}
Divide both sides by 5.
x=\frac{\frac{4}{9}}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{4}{45}
Divide \frac{4}{9} by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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
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Limits
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