Alright, let's solve the equation [tex]\( g = -\frac{24xy}{5} \)[/tex] for [tex]\( x \)[/tex] step-by-step.
1. Start with the given equation:
[tex]\[
g = -\frac{24xy}{5}
\][/tex]
2. First, we'll clear the fraction by multiplying both sides of the equation by 5:
[tex]\[
5g = -24xy
\][/tex]
3. Next, we need to isolate [tex]\( x \)[/tex]. To do that, we'll divide both sides of the equation by [tex]\(-24y\)[/tex]:
[tex]\[
x = \frac{5g}{-24y}
\][/tex]
4. Simplify the fraction on the right-hand side:
[tex]\[
x = -\frac{5g}{24y}
\][/tex]
Therefore, the solution for [tex]\( x \)[/tex] in terms of [tex]\( g \)[/tex] and [tex]\( y \)[/tex] is:
[tex]\[
x = -\frac{5g}{24y}
\][/tex]
This is how we isolate [tex]\(x\)[/tex] and solve the given equation.
