Solve 15/x1.5=15/x+15

$$\frac{ 15 }{ x } 1.5 = \frac{ 15 }{ x+15 }$$

Solve for x

$$x=-45$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -15,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+15\right), the least common multiple of x,x+15.

$$\left(x+15\right)\times 15\times 1.5=x\times 15$$

Multiply 15 and 1.5 to get 22.5.

$$\left(x+15\right)\times 22.5=x\times 15$$

Use the distributive property to multiply x+15 by 22.5.

$$22.5x+337.5=x\times 15$$

Subtract x\times 15 from both sides.

$$22.5x+337.5-x\times 15=0$$

Combine 22.5x and -x\times 15 to get 7.5x.

$$7.5x+337.5=0$$

Subtract 337.5 from both sides. Anything subtracted from zero gives its negation.

$$7.5x=-337.5$$

Divide both sides by 7.5.

$$x=\frac{-337.5}{7.5}$$

Expand \frac{-337.5}{7.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-3375}{75}$$

Divide -3375 by 75 to get -45.

$$x=-45$$