2 x 2 + 8 x = 0 2 x ( x + 4 ) = 0 2 x = 0 or x + 4 = 0 x = 0 or x = − 4 A n s w er : x = 0 or x = − 4
2 x 2 + 8 x = 0 2 x ( x + 4 ) = 0 ⇔ ( 2 x = 0 / : 2 or x + 4 = 0 ) . x = 0 x = − 4
To solve the equation 2 x 2 + 8 x = 0 , we factor it into 2 x ( x + 4 ) = 0 and set each factor to zero. This yields the solutions x = 0 and x = − 4 .
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