How to Solve by Factoring Quadratic Equation
Put it in standard form, factor the trinomial, and set each factor to zero. Solve the resulting simple equations. Easy peasy!
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Factoring quadratics feels like magic when you get it down! Move everything to one side, factor the equation, and solve for x by setting each factor to zero. Boom, done.
To solve a quadratic equation by factoring, get everything on one side of the equation (set it to 0). Then, find two numbers that multiply to the constant term and add to the coefficient of the linear term. Split the middle term using these numbers and factor by grouping. Simple as algebra pie!
First, make sure your quadratic equation is in the form ax^2 + bx + c = 0. Then, find two numbers that multiply to ac and add to b. Use these numbers to split the middle term and factor by grouping. Voila!
Honestly, I just use the quadratic formula most of the time. Faster and works even when factoring is hard.
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