Final answer:
To solve the equation 9x^2 + 7x = 0 using the quadratic formula, rearrange the equation, identify the values of a, b, and c, and plug them into the quadratic formula to find the two possible values for x as x = -7/9 or x = 0.
Step-by-step explanation:
To solve the equation 9x^2 + 7x = 0 using the quadratic formula, we can first rearrange the equation to have zero on one side: 9x^2 + 7x = 0. Then, we can identify the values of a, b, and c in the quadratic formula, where a = 9, b = 7, and c = 0. Plugging these values into the quadratic formula, we get x = (-b ± √(b^2 - 4ac)) / (2a). After substituting the values, we simplify the equation and find the two possible values for x as x = -7/9 or x = 0.