Solve for R
R=\frac{3w}{50}
w\neq 0
Solve for w
w=\frac{50R}{3}
R\neq 0
Share
Copied to clipboard
6000w=25000R\times 4
Multiply both sides of the equation by w.
6000w=100000R
Multiply 25000 and 4 to get 100000.
100000R=6000w
Swap sides so that all variable terms are on the left hand side.
\frac{100000R}{100000}=\frac{6000w}{100000}
Divide both sides by 100000.
R=\frac{6000w}{100000}
Dividing by 100000 undoes the multiplication by 100000.
R=\frac{3w}{50}
Divide 6000w by 100000.
6000w=25000R\times 4
Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by w.
6000w=100000R
Multiply 25000 and 4 to get 100000.
\frac{6000w}{6000}=\frac{100000R}{6000}
Divide both sides by 6000.
w=\frac{100000R}{6000}
Dividing by 6000 undoes the multiplication by 6000.
w=\frac{50R}{3}
Divide 100000R by 6000.
w=\frac{50R}{3}\text{, }w\neq 0
Variable w cannot be equal to 0.
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}