Table of Contents First get all nonzero terms on one side. Quadratic Equation: Solving by factoring Example: Solve 6x 2 – 13x = 8. 6x 2 – 13x – 8 = 0 Second.

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Table of Contents First get all nonzero terms on one side. Quadratic Equation: Solving by factoring Example: Solve 6x 2 – 13x = 8. 6x 2 – 13x – 8 = 0 Second factor completely.6x 2 – 16x + 3x – 8 = 0 Third, set each factor equal to zero. 2x(3x – 8) + 1(3x – 8) = 0 (3x – 8)(2x + 1) = 0 3x – 8 = 0 or 2x + 1 = 0 Last, solve each linear equation. 3x = 8 or 2x = - 1

Table of Contents Quadratic Equation: Solving by factoring Slide 2 Try to solve 12x 2 = 27x – 6. The solution set is Notes: Solving 12x 2 = 27x – 6 resulted in three factors; 3, 4x – 1, and x – 2. Setting the factor 3 equal to zero results in a contradiction, so it does not contribute a number to the solution set.

Table of Contents Quadratic Equation: Solving by factoring