x = 0 x − 8 = − x 12 ∣ ⋅ x x 2 − 8 x = − 12 x 2 − 8 x + 12 = 0 x 2 − 6 x − 2 x + 12 = 0 x ( x − 6 ) − 2 ( x − 6 ) = 0 ( x − 2 ) ( x − 6 ) = 0 x = 2 ∨ x = 6
To solve the equation x − 8 = − x 12 , first eliminate the fraction by multiplying through by x . Then, rearrange to form a quadratic equation, factor it, and find the solutions, which are x = 6 and x = 2 .
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