Question

solve the following equation. check your solution.
6m = 0
m = \square
(type an integer or a simplified fraction.)

Explanation:

Step1: Isolate the variable m

To solve for \( m \) in the equation \( 6m = 0 \), we divide both sides of the equation by 6. The division property of equality states that if \( a = b \), then \( \frac{a}{c}=\frac{b}{c} \) for \( c
eq0 \). So we have:
\( \frac{6m}{6}=\frac{0}{6} \)

Step2: Simplify both sides

Simplifying the left side, \( \frac{6m}{6} = m \). Simplifying the right side, \( \frac{0}{6}=0 \). So we get \( m = 0 \).

Step3: Check the solution

Substitute \( m = 0 \) back into the original equation \( 6m = 0 \). Left side: \( 6\times0 = 0 \), right side: \( 0 \). Since left side equals right side, the solution is correct.

Answer:

\( 0 \)