Question

plzzz help me to solve this question by factorisation the answer to this question is x = 9/7 , x = -3/2​

Answer 1

Step-by-step explanation:

Given equation is 7x² + 1.5x - 13.5 = 0

Now multiply it on both sides with 10

=> 70x² + 15x - 135 = 0

=> 5(14x² + 3x - 27) = 0

=> 14x² + 3x - 27 = 0

=> 14x² + (21x - 18x) - 27 = 0

=> 14x² + 21x - 18x - 27 = 0

=> 7x(2x + 3) - 9(2x + 3) = 0

=> (7x - 9)(2x + 3) = 0

Case (i)

=> 7x - 9 = 0

=> 7x = 9

=> x = 9/7

Case (ii)

=> 2x + 3 = 0

=> 2x = -3

=> x = -3/2

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