X-1 x30 x 1x 3 0. This is the easiest method of solving a quadratic equation as long as the binomial or trinomial is easily factorable. Solving factored quadratic equations.
Write the quadratic equation in standard form ax2 bx c 0 a x 2 b x c 0.
Factorize the equation by breaking down the middle term. Left parenthesis x minus 1 right parenthesis left parenthesis x plus 3 right parenthesis equals 0. Therefore when solving quadratic equations by factoring we must always have the equation in the form quadratic expression equals zero before we make any attempt to solve the quadratic equation by factoring. Bring all terms to one side of the equation leaving a zero on the other side.