solve by factoring:[tex] {x}^{2} + 7x + 12 = 0[/tex]

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03-11-2022
Mathematics

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solve by factoring:[tex] {x}^{2} + 7x + 12 = 0[/tex]

Sagot :

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SosaZ737376 SosaZ737376 · Answer 1 · 2022-11-03T03:08:01-04:00

The given equation is expressed as

x^2 + 7x + 12

This is a quadratic equation. We would solve by applying the method of factorisation. The first step is to multiply x^2 with 12. It becomes 12x^2. We would find two terms such that their sum or difference is 7x and their product is 12x^2. The terms are 4x and 3x. By replacing 7x with 4x + 3x, we have

x^2 + 4x + 3x + 12 = 0

We would factorise by grouping. The groups are (x^2 + 4x) and (3x + 12). It becomes

x(x + 4) + 3(x + 4) = 0

Since x + 4 is common, it becomes

(x + 4)(x + 3) = 0

x + 4 = 0 or x + 3 = 0

x = - 4 or x = - 3

Sagot :

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