Solve for x
x = \frac{4259}{102} = 41\frac{77}{102} \approx 41.754901961
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240x+\frac{180\times 3}{2}x+5=21300
Express 180\times \frac{3}{2} as a single fraction.
240x+\frac{540}{2}x+5=21300
Multiply 180 and 3 to get 540.
240x+270x+5=21300
Divide 540 by 2 to get 270.
510x+5=21300
Combine 240x and 270x to get 510x.
510x=21300-5
Subtract 5 from both sides.
510x=21295
Subtract 5 from 21300 to get 21295.
x=\frac{21295}{510}
Divide both sides by 510.
x=\frac{4259}{102}
Reduce the fraction \frac{21295}{510} to lowest terms by extracting and canceling out 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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
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