Solve -1-u/u=5

$$- \frac { 1 - u } { u } = 5$$

Solve for u

$$u=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

Variable u cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by u.

$$-\left(1-u\right)=5u$$

To find the opposite of 1-u, find the opposite of each term.

$$-1-\left(-u\right)=5u$$

The opposite of -u is u.

$$-1+u=5u$$

Subtract 5u from both sides.

$$-1+u-5u=0$$

Combine u and -5u to get -4u.

$$-1-4u=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$-4u=1$$

Divide both sides by -4.

$$u=\frac{1}{-4}$$

Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$u=-\frac{1}{4}$$