Watch the video below to see how to solve a quadratic equation by using factoring.

Practice: Solve 2x² − 5x = 12 by factoring.

Select and move each rectangle to show the correct steps in solving the quadratic equation by factoring.

The solutions for 2x² − 5x = 12 are x = - 3 2 and x = 4.

Your turn: On your own paper, solve the quadratic equation given below by factoring.

Click on the hint for help, the solution for the answer, and the detailed solution to explain the steps.

x2 − x − 6 = 0

Interactive popup. Assistance may be required. Click for a hint. The factors are (x − 3)(x + 2).

Interactive popup. Assistance may be required. Click for a solution. x = 3 and x = –2

Interactive popup. Assistance may be required. Detailed solution