Solve the equation k / -g = 0 for k.
Understand the Problem
The question is asking to solve the equation k / -g = 0 for the variable k.
Answer
$$ k = 0 $$
Answer for screen readers
The solution for $k$ is:
$$ k = 0 $$
Steps to Solve
-
Set up the equation
The equation given is:
$$ \frac{k}{-g} = 0 $$ -
Multiply both sides by -g
To eliminate the fraction, multiply both sides of the equation by $-g$:
$$ k = 0 \cdot (-g) $$ -
Simplify the equation
Since $0$ multiplied by any number is still $0$:
$$ k = 0 $$
The solution for $k$ is:
$$ k = 0 $$
More Information
This equation illustrates the property that any number divided by a non-zero constant (in this case, $-g$) equals zero only when the numerator is zero.
Tips
- Confusing the operations: Make sure to multiply both sides of the equation appropriately to eliminate the fraction.
- Forgetting that multiplying by zero will always yield zero, leading to potential misunderstandings about variable values.
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