math

To solve this equation using factoring, we first need to rewrite it so that each side is equal to zero. To do this, we subtract 49t^2 from both sides: 49t^2 - 49t^2 = 25 - 49t^2 Now, to factor this equation we take out the greatest common factor between both sides, which is 49t^2, so we get: 49t^2 (1 - 1) = 25 - 49t^2 Now, we can factor the left-hand side, giving us: 49t^2 (0) = 25 - 49t^2 Since the left-hand side is equal to zero, this equation simplifies to: 0 = 25 - 49t^2 And then we can add 49t^2 to both sides to get: 49t^2 = 25 Now, we can divide both sides by 49 to get: t^2 = 25/49 And finally, take the square root of both sides: t = ±√(25/49) Therefore, the solution to our equation is t = ±√(25/49).