To solve the quadratic equation 25x² + 35x = -12 using the quadratic formula, you can use the formula:
x = (-b ± √(b² - 4ac)) / (2a)
In this equation, a = 25, b = 35, and c = -12. Plug these values into the formula:
x = (-35 ± √(35² - 4 * 25 * (-12))) / (2 * 25)
x = (-35 ± √(1225 + 1200)) / 50
x = (-35 ± √(2425)) / 50
Now, calculate the two possible solutions:
x₁ = (-35 + √(2425)) / 50
x₂ = (-35 - √(2425)) / 50
These two values represent the solutions to the equation. You can leave them in this form, or you can simplify further if needed.
The provided answer choices don't seem to correspond to the correct solutions of the equation. The correct solutions are found using the quadratic formula as mentioned above.