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Quadratic Equations: Factorization and Solution Methods

Discover how to solve quadratic equations by factoring and finding the solutions using examples. Learn step-by-step methods for solving equations of the form ax^2 + bx + c = 0.

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Quadratic Equations: Factorization and Solution Methods

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  1. Solving quadratics Factorise and solve

  2. Solvex2 + 5x=0 x = 0 and x = -5 Factorise x(x + 5)=0

  3. Solvex2 - 2x=0 x = 0 and x = 2 Factorise x(x - 2)=0

  4. Solve3x2 - 12x=0 x = 0 and x = 4 Factorise 3x(x - 4)=0

  5. Solvex2 + 12x + 35 = 0 Factorise (x + 5)(x + 7)=0 x = -5 x = -7

  6. Solvex2 + 13x + 36 = 0 Factorise (x + 9)(x + 4)=0 x = -9 x = -4

  7. Solvex2 + 16x + 48 = 0 Factorise (x + 4)(x + 12)=0 x = -4 x = -12

  8. Solvex2 - 14x + 45 = 0 Factorise (x - 9)(x - 5)=0 x = 9 x = 5

  9. Solvex2 - x - 42 = 0 Factorise (x - 7)(x + 6)=0 x = 7 x = -6

  10. Solvex2 - 144 = 0 Factorise (x - 12)(x + 12)=0 x = 12 x = -12

  11. Solve9x2 - 4 = 0 Factorise (3x - 2)(3x + 2)=0 x = ⅔ x = - ⅔

  12. Solve64x2 - 9 = 0 Factorise (8x - 3)(8x + 3)=0 x = ⅜ x = - ⅜

  13. Solve2x2 +11x + 5 = 0 Factorise (2x + 1)(x + 5)=0 x = -½ x = - 5

  14. Solve3x2 +14x + 8 = 0 Factorise (3x + 2)(x + 4)=0 x = -⅔ x = - 5

  15. Solve5x2 - 2x - 7 = 0 Factorise (5x - 7)(x + 1)=0 x = 7/5 x = - 1

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