Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12. x = - 6 or x = 1 x = - 3 or x = - 2 x = - 1 or x = 6 x = 9 or x = 10

Question

Mathematics

Rachael Vaughan

25 December, 19:27

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12. x = - 6 or x = 1 x = - 3 or x = - 2 x = - 1 or x = 6 x = 9 or x = 10

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Answers (1)

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Hull · Answer 1

The solutions are 1, - 6

Step-by-step explanation:

∵ (x + 2) (x + 3) = 12

∴ x² + 3x + 2x + 6 - 12 = 0

∴ x² + 5x - 6 = 0

∴ (x - 1) (x + 6) = 0

∴ x - 1 = 0 ⇒ ∴ x = 1

∴ x + 6 = 0 ⇒ x = - 6