How to solve - 5 = - 7/(u + 7)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve - 5 = - 7/(u + 7) | Equatix

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$$-5=-\frac{7}{u+7}$$

$u = -\frac{28}{5} = -5\frac{3}{5} = -5.6$

Variable $u$ cannot be equal to $-7$ since division by zero is not defined. Multiply both sides of the equation by $u+7$.

$$-5\left(u+7\right)=-7$$

Use the distributive property to multiply $-5$ by $u+7$.

$$-5u-35=-7$$

Add $35$ to both sides.

$$-5u=-7+35$$

Add $-7$ and $35$ to get $28$.

$$-5u=28$$

Divide both sides by $-5$.

$$u=\frac{28}{-5}$$

Fraction $\frac{28}{-5}$ can be rewritten as $-\frac{28}{5}$ by extracting the negative sign.

$$u=-\frac{28}{5}$$