27 x 2 − 12 = 0 / : 3 9 x 2 − 4 = 0 ⇔ ( 3 x ) 2 − 2 2 = 0 ⇔ ( 3 x − 2 ) ( 3 x + 2 ) = 0 3 x − 2 = 0 or 3 x + 2 = 0 3 x = 2 / : 3 or 3 x = − 2 / : 3 x = 3 2 or x = − 3 2
27 x 2 − 12 = 0 3 ( 9 x 2 − 4 ) = 0 3 ( 3 x − 2 ) ( 3 x + 2 ) = 0 x = 3 2 ∨ x = − 3 2
The factored form of the quadratic expression 27 x 2 − 12 = 0 is ( 3 x − 2 ) ( 3 x + 2 ) = 0 . By solving the factors, the roots are x = 3 2 and x = − 3 2 .
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