Solve the quadratic equation by factoring. One solution is 0 . Find the other. (Just write the numerical answer, not \( x= \) ) \( 4 x^{2}+12 x=0 \) Your Answer: Answer

- To solve the equation \( 4x^2 + 12x = 0 \) by factoring, start by factoring out the common term, which is \( 4x \). This gives you \( 4x(x + 3) = 0 \). Setting each factor equal to zero gives the solutions: \( 4x = 0 \) (which you already know is 0) and \( x + 3 = 0 \), leading to \( x = -3 \). - Keep in mind that when solving quadratic equations, especially those factorable ones, it's essential to look for the greatest common factor (GCF) first. Common mistakes often include forgetting to set each factor to zero or miscalculating when extracting roots, so double-check your work!