Question

16x²-3 =(2x+5) (5x-3)
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Answer 1

x = 3/2, 4/3

Step-by-step explanation:

$16 {x}^{2} - 3 = (2x + 5)(5x - 3) \\ \\ 16 {x}^{2} - 3 = 10 {x}^{2} - 6x + 25x - 15 \\ \\ 16 {x}^{2} - 10 {x}^{2} - 3 + 15 = 19x \\ \\ 6 {x}^{2} - 19x + 12 = 0 \\ \\ 6{x}^{2} - 8 {x}^{} - 9 {x}^{} + 12 = 0 \\ \\ 2x(3x - 4) - 3(3x - 4) = 0 \\ \\ (2x - 3)(3x - 4) = 0$

Either, 2x - 3 = 0

2x = 3

x = 3/2

Or, 3x = 4

x = 4/3

Therefore our required answer is x = 3/2, 4/3