Why did you place 5/5 instead of 15/3
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
In Step 1, when we divided the entire equation $3x^2 + 7x - 15 = 0$ by 3, the constant term became $\frac{-15}{3}$.
Step 1: Divide by 3.
$$ \frac{3x^2}{3} + \frac{7x}{3} - \frac{15}{3} = \frac{0}{3} $$
$$ x^2 + \frac{7}{3}x - 5 = 0 $$
The term $\frac{15}{3}$ simplifies to $5$ because $15 \div 3 = 5$. I did not use $\frac{5}{5}$.
