Final answer:
The student's question involves factoring a quadratic equation using the quadratic formula. The original equation is 4x² + 9x - 9, which does not match the constants provided in the reference. By applying the quadratic formula, we can find the values of x that solve the equation.
Step-by-step explanation:
The question seems to be a request to factor the quadratic equation 4x² + 9x - 9. However, the constants provided in the reference information do not match the original equation. Instead, I will use the quadratic formula to factor the original equation. The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients from the quadratic equation ax² + bx + c = 0.
To apply the quadratic formula, we first identify the coefficients from the original equation, which are a = 4, b = 9, and c = -9, and then substitute them into the formula:
x = (-(9) ± √((9)² - 4(4)(-9))) / (2(4))
Simplify to find the values of x that solve the equation. These values are the factors of the quadratic equation in its factored form.