Certainly! Let's solve for [tex]\( x \)[/tex] in the given equation [tex]\( g = -\frac{24xy}{5} \)[/tex].
1. Start with the given equation:
[tex]\[
g = -\frac{24xy}{5}
\][/tex]
2. To isolate [tex]\( x \)[/tex], we need to rearrange the equation. First, we can eliminate the denominator by multiplying both sides of the equation by 5:
[tex]\[
5g = -24xy
\][/tex]
3. Next, we want to isolate [tex]\( x \)[/tex]. To achieve this, divide both sides by [tex]\(-24y\)[/tex]:
[tex]\[
x = \frac{5g}{-24y}
\][/tex]
4. Simplify the expression. The negative sign in the denominator can be moved to the numerator:
[tex]\[
x = -\frac{5g}{24y}
\][/tex]
So, the solution for [tex]\( x \)[/tex] in terms of [tex]\( g \)[/tex] and [tex]\( y \)[/tex] is:
[tex]\[
x = -\frac{5g}{24y}
\][/tex]
And there we have the final expression for [tex]\( x \)[/tex].
