Solve xdiv(x+400)=0.75

$$x \div (x+400)=0.75$$

Solve for x

$$x=1200$$

Steps for Solving Linear Equation

Variable x cannot be equal to -400 since division by zero is not defined. Multiply both sides of the equation by x+400.

$$x=0.75\left(x+400\right)$$

Use the distributive property to multiply 0.75 by x+400.

$$x=0.75x+300$$

Subtract 0.75x from both sides.

$$x-0.75x=300$$

Combine x and -0.75x to get 0.25x.

$$0.25x=300$$

Divide both sides by 0.25.

$$x=\frac{300}{0.25}$$

Expand \frac{300}{0.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{30000}{25}$$

Divide 30000 by 25 to get 1200.

$$x=1200$$