How to solve 34 - 6(x - 5) = 0

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 34 - 6(x - 5) = 0 | Equatix

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$$34-6(x-5)=0$$

$x = \frac{32}{3} = 10\frac{2}{3} \approx 10.666666667$

Use the distributive property to multiply $-6$ by $x-5$.

$$34-6x+30=0$$

Add $34$ and $30$ to get $64$.

$$64-6x=0$$

Subtract $64$ from both sides. Anything subtracted from zero gives its negation.

$$-6x=-64$$

Divide both sides by $-6$.

$$x=\frac{-64}{-6}$$

Reduce the fraction $\frac{-64}{-6}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{32}{3}$$