Question

find value of x that is a solution to the equation (2x - 3 )² = 4x - 6​

Answer 1

$4 {x}^{2} + 9 - 12x = 4x - 6$

$4 {x}^{2} + 9 + 6 - 12x - 4x = 0$

$4 {x}^{2} - 16x + 15 = 0$

$4 {x}^{2} - (10 + 6)x + 15 = 0$

$4 {x}^{2} - 10x - 6x + 15 = 0$

$2x(2x - 5) - 3(2x - 5) = 0$

$(2x - 5)(2x - 3) = 0$

$2x - 5 = 0$

$x = \frac{5}{2}$

$2x - 3 = 0$

$x = \frac{3}{2}$

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