\( x(x+3)-1=0 \) (Leave \( y \)

To solve the equation \( x(x+3)-1=0 \), first expand it: \( x^2 + 3x - 1 = 0 \). Now you can apply the quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), where \( a = 1 \), \( b = 3 \), and \( c = -1 \). Plugging in these values gives you \( x = \frac{-3 \pm \sqrt{3^2 - 4(1)(-1)}}{2(1)} \). Simplifying further leads to two solutions, making those numbers a perfect candidate for plotting on a graph if you're feeling adventurous! Check your calculations carefully—common mistakes often involve misplacing a negative sign while simplifying or forgetting to include the square root in your final answer. Make sure to verify your solutions by substituting them back into the original equation. It's like playing detective with numbers—ensuring each clue (or number) fits perfectly into the case (or equation)!