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 Quadratic Equations Solve a quadratic equation by factoring To solve a quadratic equation by factoring: 1. Move all terms to the same side, so the equation is set equal to 0. 2. Factor the algebraic expression. 3. Set each factor equal to 0. (If the product of two factors equals 0, then either one or both of the factors must be 0.) 4. Solve each resulting equation. $\fs2x^2-2x=0\;\Rightarrow\;x(x-2)=0\;\Rightarrow\;x_1=0\;x_2=2$ $\fs27x^2+12x=0\;\Rightarrow\;x(7x+12)=0\;\Rightarrow\;x_1=0\;x_2=-\frac{12}{7}$ Solve $\fs12x^2-4x=0$ Solutions x1= x2=