Final answer:
Solving quadratic equations by factoring involves transforming the equation into a format which allows factorization, applying the Zero Product Property and solving for the unknowns.
Step-by-step explanation:
The process of solving quadratic equations by factoring involves turning a quadratic equation into a format such that you can use the factorisation technique. Once the quadratic equation is in factored form, you will use the Zero Product Property, which states that if a*b = 0, then either a = 0, b = 0 or both are 0.
Firstly, express the quadratic equation in the form ax^2 + bx + c = 0.
Next, factorise the left-hand side of the equation.
Then apply the Zero Product Property and solve for x by setting each factor equal to zero.
For example, in the quadratic equation x^2 - 5x + 6 = 0, you can factorize the equation into (x - 2)(x - 3) = 0, therefore the solutions become x = 2 and x = 3.
Learn more about solving quadratic equations by factoring