To solve the equation 6x²+4x-12=0, we can use the quadratic formula: x = (-b ± √(b²-4ac)) / (2a) Where a = 6, b = 4, and c = -12. Plugging these values into the quadratic formula: x = (-4 ± √(4²-4(6)(-12))) / (2*6) x = (-4 ± √(16+288)) / 12 x = (-4 ± √304) / 12 So the solutions are: x = (-4 + √304) / 12 x = (-4 - √304) / 12 These are the exact solutions to the equation. If you want decimal approximations, you can calculate the value of the square root of 304 and then divide by 12.