To solve the equation [tex]\(\frac{9x + 3}{25} = 0\)[/tex], follow these steps:
1. Understand the Equation:
We have [tex]\(\frac{9x + 3}{25} = 0\)[/tex].
2. Eliminate the Denominator:
Multiply both sides of the equation by 25 to get rid of the denominator:
[tex]\[
25 \cdot \frac{9x + 3}{25} = 25 \cdot 0
\][/tex]
This simplifies to:
[tex]\[
9x + 3 = 0
\][/tex]
3. Isolate the Variable:
Subtract 3 from both sides to isolate the term containing [tex]\(x\)[/tex]:
[tex]\[
9x = -3
\][/tex]
4. Solve for [tex]\(x\)[/tex]:
Divide both sides by 9 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{-3}{9}
\][/tex]
Simplify the fraction:
[tex]\[
x = -\frac{1}{3}
\][/tex]
Thus, the solution to the equation [tex]\(\frac{9x + 3}{25} = 0\)[/tex] is:
[tex]\[
x = -\frac{1}{3}
\][/tex]
