Solve 59^2/37+78/3x=700

$$\frac { 59 ^ { 2 } } { 37 } + \frac { 78 } { 3 x } = 700$$

Solve for x

$$x=\frac{962}{22419}\approx 0.042910032$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 111x, the least common multiple of 37,3x.

$$3x\times 59^{2}+37\times 78=77700x$$

Calculate 59 to the power of 2 and get 3481.

$$3x\times 3481+37\times 78=77700x$$

Multiply 3 and 3481 to get 10443.

$$10443x+37\times 78=77700x$$

Multiply 37 and 78 to get 2886.

$$10443x+2886=77700x$$

Subtract 77700x from both sides.

$$10443x+2886-77700x=0$$

Combine 10443x and -77700x to get -67257x.

$$-67257x+2886=0$$

Subtract 2886 from both sides. Anything subtracted from zero gives its negation.

$$-67257x=-2886$$

Divide both sides by -67257.

$$x=\frac{-2886}{-67257}$$

Reduce the fraction \frac{-2886}{-67257} to lowest terms by extracting and canceling out -3.

$$x=\frac{962}{22419}$$