Factorise the equation 6x^2+5x-6.

Answer:

Consider the eaution

6x2 + 5x – 6 = 0……………….(1)

5x can be written as

5x = 9x – 4x

Substitute in the equation (1)

6x2 + 9x – 4x – 6 = 0

3x(2x + 3) -2(2x +3) = 0

(2x + 3)(3x – 2) = 0

Consider (2x + 3) = 0, then

2x = -3

x = -3/2

Consider (3x – 2) = 0

3x = 2

x = 2/3

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