To solve the given problem, we follow these steps:
1. Understanding the given values:
- We are given the value of [tex]\( x \)[/tex] which is [tex]\( x = 3 \)[/tex].
2. Setting up the expression:
- We have an expression involving [tex]\( y \)[/tex] and [tex]\( x \)[/tex]. The expression provided is [tex]\( 2y(25x - 15) \)[/tex].
3. Substituting the value of [tex]\( x \)[/tex]:
- Substitute [tex]\( x = 3 \)[/tex] into the expression.
- The expression becomes [tex]\( 2y(25 \times 3 - 15) \)[/tex].
4. Simplify inside the parentheses:
- Calculate [tex]\( 25 \times 3 \)[/tex]:
[tex]\[
25 \times 3 = 75
\][/tex]
- Then subtract 15 from 75:
[tex]\[
75 - 15 = 60
\][/tex]
5. Rewrite the expression with the simplified value:
- Now the expression is [tex]\( 2y \times 60 \)[/tex].
- Which simplifies to:
[tex]\[
2y \times 60 = 120y
\][/tex]
6. Formulating the equation:
- Set the expression equal to zero to formulate the equation:
[tex]\[
120y = 0
\][/tex]
7. Solving for [tex]\( y \)[/tex]:
- To solve for [tex]\( y \)[/tex], divide both sides by 120:
[tex]\[
\frac{120y}{120} = \frac{0}{120}
\][/tex]
- Simplifying the division:
[tex]\[
y = 0
\][/tex]
Answer: [tex]\( y = 0 \)[/tex]
