It seems you've provided a series of equations that appear to be improperly formatted or contain typographical errors. I will interpret them and assist you in solving each equation step by step.
Let's rewrite and solve each equation individually:
- \( 4(x - \frac{1}{2}) = 0 \)
To solve for \( x \): \[ 4(x - \frac{1}{2}) = 0 \] Dividing both sides by 4: \[ x - \frac{1}{2} = 0 \] Adding \(\frac{1}{2}\) to both sides: \[ x = \frac{1}{2} \]
- \( 8x - 14 = 0 \)
To solve for \( x \): \[ 8x - 14 = 0 \] Adding 14 to both sides: \[ 8x = 14 \] Dividing both sides by 8: \[ x = \frac{14}{8} = \frac{7}{4} \]
- \( (x - 13)^2 = 0 \)
Taking the square root of both sides: \[ x - 13 = 0 \] Adding 13 to both sides: \[ x = 13 \]
- \( 4(x - 21) = 0 \)
To solve for \( x \): \[ 4(x - 21) = 0 \] Dividing by 4: \[ x - 21 = 0 \] Adding 21 to both sides: \[ x = 21 \]
The part with \( 0(8 - 817) = 0 \) seems unusual since it has a product set to zero. The left-hand side will always be zero regardless of \( x \) since it's multiplied by zero. This doesn't provide useful information about \( x \).
The equation "12(*-,음원)" is unclear. Please clarify this expression.
If you need further assistance or clarification on any point or additional information on different equations, feel free to ask!