Solve for x
x = \frac{284773}{69000} = 4\frac{8773}{69000} \approx 4.127144928
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\frac{20x\times 931.5\times 10^{-13}\times 1.6}{1.66\times 10^{-27}\times 235}=10^{9}\times 3600\times 365\times 24
To multiply powers of the same base, add their exponents. Add 6 and -19 to get -13.
\frac{1.6\times 4\times 931.5\times 10^{-13}x}{1.66\times 47\times 10^{-27}}=10^{9}\times 3600\times 365\times 24
Cancel out 5 in both numerator and denominator.
\frac{1.6\times 4\times 931.5\times 10^{14}x}{1.66\times 47}=10^{9}\times 3600\times 365\times 24
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{6.4\times 931.5\times 10^{14}x}{1.66\times 47}=10^{9}\times 3600\times 365\times 24
Multiply 1.6 and 4 to get 6.4.
\frac{5961.6\times 10^{14}x}{1.66\times 47}=10^{9}\times 3600\times 365\times 24
Multiply 6.4 and 931.5 to get 5961.6.
\frac{5961.6\times 100000000000000x}{1.66\times 47}=10^{9}\times 3600\times 365\times 24
Calculate 10 to the power of 14 and get 100000000000000.
\frac{596160000000000000x}{1.66\times 47}=10^{9}\times 3600\times 365\times 24
Multiply 5961.6 and 100000000000000 to get 596160000000000000.
\frac{596160000000000000x}{78.02}=10^{9}\times 3600\times 365\times 24
Multiply 1.66 and 47 to get 78.02.
\frac{29808000000000000000}{3901}x=10^{9}\times 3600\times 365\times 24
Divide 596160000000000000x by 78.02 to get \frac{29808000000000000000}{3901}x.
\frac{29808000000000000000}{3901}x=1000000000\times 3600\times 365\times 24
Calculate 10 to the power of 9 and get 1000000000.
\frac{29808000000000000000}{3901}x=3600000000000\times 365\times 24
Multiply 1000000000 and 3600 to get 3600000000000.
\frac{29808000000000000000}{3901}x=1314000000000000\times 24
Multiply 3600000000000 and 365 to get 1314000000000000.
\frac{29808000000000000000}{3901}x=31536000000000000
Multiply 1314000000000000 and 24 to get 31536000000000000.
x=\frac{31536000000000000}{\frac{29808000000000000000}{3901}}
Divide both sides by \frac{29808000000000000000}{3901}.
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
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}