What are the solution for the quadratic equation y=x^2+11x+24

Simplifying x2 = 11x + - 24 Reorder the terms: x2 = - 24 + 11x Solving x2 = - 24 + 11x Solving for variable 'x'. Reorder the terms: 24 + - 11x + x2 = - 24 + 11x + 24 + - 11x Reorder the terms: 24 + - 11x + x2 = - 24 + 24 + 11x + - 11x Combine like terms: - 24 + 24 = 0 24 + - 11x + x2 = 0 + 11x + - 11x 24 + - 11x + x2 = 11x + - 11x Combine like terms: 11x + - 11x = 0 24 + - 11x + x2 = 0 Factor a trinomial. (3 + - 1x) (8 + - 1x) = 0 Subproblem 1Set the factor ' (3 + - 1x) ' equal to zero and attempt to solve: Simplifying 3 + - 1x = 0 Solving 3 + - 1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + - 3 + - 1x = 0 + - 3 Combine like terms: 3 + - 3 = 0 0 + - 1x = 0 + - 3 - 1x = 0 + - 3 Combine like terms: 0 + - 3 = - 3 - 1x = - 3 Divide each side by '-1'. x = 3 Simplifying x = 3 Subproblem 2Set the factor ' (8 + - 1x) ' equal to zero and attempt to solve: Simplifying 8 + - 1x = 0 Solving 8 + - 1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + - 8 + - 1x = 0 + - 8 Combine like terms: 8 + - 8 = 0 0 + - 1x = 0 + - 8 - 1x = 0 + - 8 Combine like terms: 0 + - 8 = - 8 - 1x = - 8 Divide each side by '-1'. x = 8 Simplifying x = 8Solutionx = {3, 8}