Solve for x
x=306.25
Graph
Share
Copied to clipboard
\frac{0.75}{350+x}=\frac{0.4}{350}
Divide both sides by 350.
\frac{0.75}{350+x}=\frac{4}{3500}
Expand \frac{0.4}{350} by multiplying both numerator and the denominator by 10.
\frac{0.75}{350+x}=\frac{1}{875}
Reduce the fraction \frac{4}{3500} to lowest terms by extracting and canceling out 4.
875\times 0.75=x+350
Variable x cannot be equal to -350 since division by zero is not defined. Multiply both sides of the equation by 875\left(x+350\right), the least common multiple of 350+x,875.
656.25=x+350
Multiply 875 and 0.75 to get 656.25.
x+350=656.25
Swap sides so that all variable terms are on the left hand side.
x=656.25-350
Subtract 350 from both sides.
x=306.25
Subtract 350 from 656.25 to get 306.25.
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}