Solve 6=5/u+5

$$6 = \frac { 5 } { u + 5 }$$

Solve for u

$$u = -\frac{25}{6} = -4\frac{1}{6} \approx -4.166666667$$

Steps for Solving Linear Equation

Variable u cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by u+5.

$$6\left(u+5\right)=5$$

Use the distributive property to multiply 6 by u+5.

$$6u+30=5$$

Subtract 30 from both sides.

$$6u=5-30$$

Subtract 30 from 5 to get -25.

$$6u=-25$$

Divide both sides by 6.

$$u=\frac{-25}{6}$$

Fraction \frac{-25}{6} can be rewritten as -\frac{25}{6} by extracting the negative sign.

$$u=-\frac{25}{6}$$