Solve the quadratic equation for x by factoring.

e)12x^2-4=22

f)2x+3/2=5/x

e)
12x^2 - 4 = 22
12x^2 - 26 = 0
6x^2 - 13 = 0
x^2 - 13/6 = 0
(x + √(13/6))(x - √(13/6)) = 0
x = ±√(13/6)

f)
2x + 3/2 = 5/x
4x² + 3x = 10
4x² + 3x - 10 = 0
(4x - 5)(x + 2) = 0
x = 5/4 or x = -2

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