3 \sqrt { 5 } = ( 4 \sqrt { 5 } + \frac { x } { 5 }
Solve for x
x=-5\sqrt{5}\approx -11.180339887
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15\sqrt{5}=20\sqrt{5}+x
Multiply both sides of the equation by 5.
20\sqrt{5}+x=15\sqrt{5}
Swap sides so that all variable terms are on the left hand side.
x=15\sqrt{5}-20\sqrt{5}
Subtract 20\sqrt{5} from both sides.
x=-5\sqrt{5}
Combine 15\sqrt{5} and -20\sqrt{5} to get -5\sqrt{5}.
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
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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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