If x2 + x = 6, what is the value of x?

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Accepted Answer

Rewrite the equation asx3+ x--6 = 0. The left side of the equation can now be factored: (x+3)(x-2)=0 This result states that the product of two factors, (x + 3) and(x- 2),equals 0. But if the product of two factors equals 0, then either or both must equal 0: x + 3 = 0 or x-2 = 0 Subtract 3 from both sides of the left equation to isolate x on one side, and add 2 to both sides of the right equation to accomplish the same result: x+3-3=0 x-2+2=0+2 x=-3 x = 2

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