Rewriting the equation as a quadratic equation equal to zero: x^2 - x - 30 = 0 We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form (x + 5)(x - 6) = 0 Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero. x + 5 = 0 => x = -5 x - 6 = 0 => x = 6 Therefore, our solutions are x = -5 and x = 6.
